Groupoid Metrization Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0817683976
Total Pages : 486 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Groupoid Metrization Theory by : Dorina Mitrea

Download or read book Groupoid Metrization Theory written by Dorina Mitrea and published by Springer Science & Business Media. This book was released on 2012-12-15 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided. Unique features of Metrization Theory for Groupoids: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis include: * treatment of metrization from a wide, interdisciplinary perspective, with accompanying applications ranging across diverse fields; * coverage of topics applicable to a variety of scientific areas within pure mathematics; * useful techniques and extensive reference material; * includes sharp results in the field of metrization. Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties. * coverage of topics applicable to a variety of scientific areas within pure mathematics; * useful techniques and extensive reference material; * includes sharp results in the field of metrization. Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties. * useful techniques and extensive reference material; * includes sharp results in the field of metrization. Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties. * includes sharp results in the field of metrization. Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties. Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties.

Groupoids, Inverse Semigroups, and their Operator Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 1461217741
Total Pages : 286 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Groupoids, Inverse Semigroups, and their Operator Algebras by : Alan Paterson

Download or read book Groupoids, Inverse Semigroups, and their Operator Algebras written by Alan Paterson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, it has become increasingly clear that there are important connections relating three concepts -- groupoids, inverse semigroups, and operator algebras. There has been a great deal of progress in this area over the last two decades, and this book gives a careful, up-to-date and reasonably extensive account of the subject matter. After an introductory first chapter, the second chapter presents a self-contained account of inverse semigroups, locally compact and r-discrete groupoids, and Lie groupoids. The section on Lie groupoids in chapter 2 contains a detailed discussion of groupoids particularly important in noncommutative geometry, including the holonomy groupoids of a foliated manifold and the tangent groupoid of a manifold. The representation theories of locally compact and r-discrete groupoids are developed in the third chapter, and it is shown that the C*-algebras of r-discrete groupoids are the covariance C*-algebras for inverse semigroup actions on locally compact Hausdorff spaces. A final chapter associates a universal r-discrete groupoid with any inverse semigroup. Six subsequent appendices treat topics related to those covered in the text. The book should appeal to a wide variety of professional mathematicians and graduate students in fields such as operator algebras, analysis on groupoids, semigroup theory, and noncommutative geometry. It will also be of interest to mathematicians interested in tilings and theoretical physicists whose focus is modeling quasicrystals with tilings. An effort has been made to make the book lucid and 'user friendly"; thus it should be accessible to any reader with a basic background in measure theory and functional analysis.

Semigroups. Theory and Applications

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Publisher : Springer
ISBN 13 : 3540392254
Total Pages : 429 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Semigroups. Theory and Applications by : Helmut Jürgensen

Download or read book Semigroups. Theory and Applications written by Helmut Jürgensen and published by Springer. This book was released on 2006-11-14 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Semigroups, Algorithms, Automata, and Languages

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Publisher : World Scientific
ISBN 13 : 9789812776884
Total Pages : 536 pages
Book Rating : 4.7/5 (768 download)

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Book Synopsis Semigroups, Algorithms, Automata, and Languages by : Gracinda M. S. Gomes

Download or read book Semigroups, Algorithms, Automata, and Languages written by Gracinda M. S. Gomes and published by World Scientific. This book was released on 2002 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The thematic term on OC Semigroups, Algorithms, Automata and LanguagesOCO organized at the International Centre of Mathematics (Coimbra, Portugal) in MayOCoJuly 2001 was the gathering point for researchers working in the field of semigroups, algorithms, automata and languages. These areas were selected considering their huge recent developments, their potential applications, and the motivation from other fields of mathematics and computer science. This proceedings volume is a unique collection of advanced courses and original contributions on semigroups and their connections with logic, automata, languages, group theory, discrete dynamics, topology and complexity. A selection of open problems discussed during the thematic term is also included. Contents: Finite Semigroups: An Introduction to a Unified Theory of Pseudovarieties (J Almeida); On Existence Varieties of Regular Semigroups (K Auinger); Varieties of Languages (M J J Branco); A Short Introduction to Automatic Group Theory (C Choffrut); Some Results on Semigroup-Graded Rings (W D Munn); Profinite Groups and Applications to Finite Semigroups (L Ribes); Dynamics of Finite Semigroups (J Almeida); Finite Semigroups Imposing Tractable Constraints (A Bulatov et al.); On the Efficiency and Deficiency of Rees Matrix Semigroups (C M Campbell et al.); Some Pseudovariety Joins Involving Groups and Locally Trivial Semigroups (J C Costa); Partial Action of Groups on Relational Structures: A Connection Between Model Theory and Profinite Topology (T Coulbois); Some Relatives of Automatic and Hyperbolic Groups (M Hoffmann et al.); A Sampler of a Topological Approach to Inverse Semigroups (B Steinberg); Finite Semigroups and the Logical Description of Regular Languages (H Straubing); Diamonds are Forever: The Variety DA (P Tesson & D Th(r)rien); Decidability Problems in Finite Semigroups (P G Trotter); and other papers. Readership: Researchers, academics and graduate students in pure mathematics and computer science."

The q-theory of Finite Semigroups

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Publisher : Springer Science & Business Media
ISBN 13 : 0387097813
Total Pages : 674 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis The q-theory of Finite Semigroups by : John Rhodes

Download or read book The q-theory of Finite Semigroups written by John Rhodes and published by Springer Science & Business Media. This book was released on 2009-04-05 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive, encyclopedic text in four parts aims to give the reader — from the graduate student to the researcher/practitioner — a detailed understanding of modern finite semigroup theory, focusing in particular on advanced topics on the cutting edge of research. The q-theory of Finite Semigroups presents important techniques and results, many for the first time in book form, thereby updating and modernizing the semigroup theory literature.

CSL '87

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540502418
Total Pages : 356 pages
Book Rating : 4.5/5 (24 download)

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Book Synopsis CSL '87 by : Egon Börger

Download or read book CSL '87 written by Egon Börger and published by Springer Science & Business Media. This book was released on 1988-09-14 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers which were presented to the workshop "Computer-Science Logic" held in Karlsruhe on October 12-16, 1987. Traditionally Logic, or more specifically, Mathematical Logic splits into several subareas: Set Theory, Proof Theory, Recursion Theory, and Model Theory. In addition there is what sometimes is called Philosophical Logic which deals with topics like nonclassical logics and which for historical reasons has been developed mainly at philosphical departments rather than at mathematics institutions. Today Computer Science challenges Logic in a new way. The theoretical analysis of problems in Computer Science for intrinsic reasons has pointed back to Logic. A broad class of questions became visible which is of a basically logical nature. These questions are often related to some of the traditional disciplines of Logic but normally without being covered adequately by any of them. The novel and unifying aspect of this new branch of Logic is the algorithmic point of view which is based on experiences people had with computers. The aim of the "Computer-Science Logic" workshop and of this volume is to represent the richness of research activities in this field in the German-speaking countries and to point to their underlying general logical principles.

Nineteen Papers on Algebraic Semigroups

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821895757
Total Pages : 224 pages
Book Rating : 4.8/5 (957 download)

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Book Synopsis Nineteen Papers on Algebraic Semigroups by : Ben Silver

Download or read book Nineteen Papers on Algebraic Semigroups written by Ben Silver and published by American Mathematical Soc.. This book was released on 1988-12-31 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers selected by leading specialists in algebraic semigroups in the U.S., the United Kingdom, and Australia. Many of the papers strongly influenced the development of algebraic semigroups, but most were virtually unavailable outside the U.S.S.R. Written by some of the most prominent Soviet researchers in the field, the papers have a particular emphasis on semigroups of transformations. Boris Schein of the University of Arkansas is the translator.

Operator Algebras, Operator Theory and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3764386843
Total Pages : 443 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Operator Algebras, Operator Theory and Applications by : Maria Amélia Bastos

Download or read book Operator Algebras, Operator Theory and Applications written by Maria Amélia Bastos and published by Springer Science & Business Media. This book was released on 2008-05-27 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.

Inverse Semigroups, The Theory Of Partial Symmetries

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Publisher : World Scientific
ISBN 13 : 9814496715
Total Pages : 426 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Inverse Semigroups, The Theory Of Partial Symmetries by : Mark V Lawson

Download or read book Inverse Semigroups, The Theory Of Partial Symmetries written by Mark V Lawson and published by World Scientific. This book was released on 1998-11-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is one of the most important organising principles in the natural sciences. The mathematical theory of symmetry has long been associated with group theory, but it is a basic premise of this book that there are aspects of symmetry which are more faithfully represented by a generalization of groups called inverse semigroups. The theory of inverse semigroups is described from its origins in the foundations of differential geometry through to its most recent applications in combinatorial group theory, and the theory tilings.

Locally Compact Quantum Groups and Groupoids

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Publisher : Walter de Gruyter
ISBN 13 : 3110200058
Total Pages : 256 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Locally Compact Quantum Groups and Groupoids by : Leonid Vainerman

Download or read book Locally Compact Quantum Groups and Groupoids written by Leonid Vainerman and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains seven refereed research papers on locally compact quantum groups and groupoids by leading experts in the respective fields. These contributions are based on talks presented on the occasion of the meeting between mathematicians and theoretical physicists held in Strasbourg from February 21 to February 23, 2002. Topics covered are: various constructions of locally compact quantum groups and their multiplicative unitaries; duality theory for locally compact quantum groups; combinatorial quantization of flat connections associated with SL(2,c); quantum groupoids, especially coming from Depth 2 Extensions of von Neumann algebras, C*-algebras and Rings. Many mathematical results are motivated by problems in theoretical physics. Historical remarks set the results presented in perspective. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume will give an overview of a field of research in which great progress has been achieved in the last few years, with new ties to many other areas of mathematics and physics.

Mathematical Aspects of Quantum Field Theories

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Publisher : Springer
ISBN 13 : 3319099493
Total Pages : 572 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Mathematical Aspects of Quantum Field Theories by : Damien Calaque

Download or read book Mathematical Aspects of Quantum Field Theories written by Damien Calaque and published by Springer. This book was released on 2015-01-06 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite its long history and stunning experimental successes, the mathematical foundation of perturbative quantum field theory is still a subject of ongoing research. This book aims at presenting some of the most recent advances in the field, and at reflecting the diversity of approaches and tools invented and currently employed. Both leading experts and comparative newcomers to the field present their latest findings, helping readers to gain a better understanding of not only quantum but also classical field theories. Though the book offers a valuable resource for mathematicians and physicists alike, the focus is more on mathematical developments. This volume consists of four parts: The first Part covers local aspects of perturbative quantum field theory, with an emphasis on the axiomatization of the algebra behind the operator product expansion. The second Part highlights Chern-Simons gauge theories, while the third examines (semi-)classical field theories. In closing, Part 4 addresses factorization homology and factorization algebras.

Relations and Kleene Algebra in Computer Science

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Publisher : Springer
ISBN 13 : 354037874X
Total Pages : 443 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Relations and Kleene Algebra in Computer Science by : Renate Schmidt

Download or read book Relations and Kleene Algebra in Computer Science written by Renate Schmidt and published by Springer. This book was released on 2006-10-04 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book constitutes the joint refereed proceedings of the 9th International Conference on Relational Methods in Computer Science, RelMiCS 2006, and the 4th International Workshop on Applications of Kleene Algebras, AKA 2006, held in Manchester, UK in August/September 2006. The 25 revised full papers presented together with two invited papers and the abstract of an invited talk were carefully reviewed and selected from 44 submissions.

Consciousness, Cognition and Crosstalk: The Evolutionary Exaptation of Nonergodic Groupoid Symmetry-Breaking

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Publisher : Springer Nature
ISBN 13 : 303087219X
Total Pages : 80 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Consciousness, Cognition and Crosstalk: The Evolutionary Exaptation of Nonergodic Groupoid Symmetry-Breaking by : Rodrick Wallace

Download or read book Consciousness, Cognition and Crosstalk: The Evolutionary Exaptation of Nonergodic Groupoid Symmetry-Breaking written by Rodrick Wallace and published by Springer Nature. This book was released on 2021-10-20 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book makes application to the dynamics of arousal and distraction, and to other examples. A modified version of the Kadanoff picture of phase transitions in consciousness emerges from the Morse Function itself in a surprisingly standard manner, closely associated with the breaking of groupoid symmetries driven by fundamental equivalence class algebras. Although this is far indeed from the familiar world of physical theory, it should be possible, on the basis of the probability models developed in the book, to develop new statistical tools for the analysis of observational and empirical data regarding cognition and consciousness.

Scientia Magna, Vol. 1, No. 2, 2005

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Publisher : Infinite Study
ISBN 13 : 1599730022
Total Pages : 203 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Scientia Magna, Vol. 1, No. 2, 2005 by : Zhang Wenpeng

Download or read book Scientia Magna, Vol. 1, No. 2, 2005 written by Zhang Wenpeng and published by Infinite Study. This book was released on 2006 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collection of papers from various scientists dealing with smarandache notions in science.

The Theory of Partial Algebraic Operations

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Publisher : Springer Science & Business Media
ISBN 13 : 9401734836
Total Pages : 244 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis The Theory of Partial Algebraic Operations by : E.S. Ljapin

Download or read book The Theory of Partial Algebraic Operations written by E.S. Ljapin and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays algebra is understood basically as the general theory of algebraic oper ations and relations. It is characterised by a considerable intrinsic naturalness of its initial notions and problems, the unity of its methods, and a breadth that far exceeds that of its basic concepts. It is more often that its power begins to be displayed when one moves outside its own limits. This characteristic ability is seen when one investigates not only complete operations, but partial operations. To a considerable extent these are related to algebraic operators and algebraic operations. The tendency to ever greater generality is amongst the reasons that playa role in explaining this development. But other important reasons play an even greater role. Within this same theory of total operations (that is, operations defined everywhere), there persistently arises in its different sections a necessity of examining the emergent feature of various partial operations. It is particularly important that this has been found in those parts of algebra it brings together and other areas of mathematics it interacts with as well as where algebra finds applica tion at the very limits of mathematics. In this connection we mention the theory of the composition of mappings, category theory, the theory of formal languages and the related theory of mathematical linguistics, coding theory, information theory, and algebraic automata theory. In all these areas (as well as in others) from time to time there arises the need to consider one or another partial operation.

Soviet Mathematics (Iz. VUZ).

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Publisher :
ISBN 13 :
Total Pages : 730 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Soviet Mathematics (Iz. VUZ). by : Soviet Union. Ministerstvo vysshego i srednego spet︠s︡ialʹnogo obrazovanii︠a︡

Download or read book Soviet Mathematics (Iz. VUZ). written by Soviet Union. Ministerstvo vysshego i srednego spet︠s︡ialʹnogo obrazovanii︠a︡ and published by . This book was released on 1982 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topology, Geometry, and Dynamics: V. A. Rokhlin-Memorial

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Publisher : American Mathematical Soc.
ISBN 13 : 1470456648
Total Pages : 345 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topology, Geometry, and Dynamics: V. A. Rokhlin-Memorial by : Anatoly M. Vershik

Download or read book Topology, Geometry, and Dynamics: V. A. Rokhlin-Memorial written by Anatoly M. Vershik and published by American Mathematical Soc.. This book was released on 2021-08-30 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vladimir Abramovich Rokhlin (8/23/1919–12/03/1984) was one of the leading Russian mathematicians of the second part of the twentieth century. His main achievements were in algebraic topology, real algebraic geometry, and ergodic theory. The volume contains the proceedings of the Conference on Topology, Geometry, and Dynamics: V. A. Rokhlin-100, held from August 19–23, 2019, at The Euler International Mathematics Institute and the Steklov Institute of Mathematics, St. Petersburg, Russia. The articles deal with topology of manifolds, theory of cobordisms, knot theory, geometry of real algebraic manifolds and dynamical systems and related topics. The book also contains Rokhlin's biography supplemented with copies of actual very interesting documents.