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Author : H. Appelgate
Publisher : Springer
ISBN 13 : 3540360913
Total Pages : 408 pages
Book Rating : 4.5/5 (43 download)
Download or read book Seminar on Triples and Categorical Homology Theory written by H. Appelgate and published by Springer. This book was released on 2006-11-14 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1996-04 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen Brookes
Publisher : Springer Science & Business Media
ISBN 13 : 9783540580270
Total Pages : 664 pages
Book Rating : 4.5/5 (82 download)
Download or read book Mathematical Foundations of Programming Semantics written by Stephen Brookes and published by Springer Science & Business Media. This book was released on 1994-05-20 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the Ninth International Conference on the Mathematical Foundations of Programming Semantics, held in New Orleans in April 1993. The focus of the conference series is the semantics of programming languages and the mathematics which supports the study of the semantics. The semantics is basically denotation. The mathematics may be classified as category theory, lattice theory, or logic. Recent conferences and workshops have increasingly emphasized applications of the semantics and mathematics. The study of the semantics develops with the mathematics and the mathematics is inspired by the applications in semantics. The volume presents current research in denotational semantics and applications of category theory, logic, and lattice theory to semantics.
Author : E.G. Manes
Publisher : Springer Science & Business Media
ISBN 13 : 1461298601
Total Pages : 364 pages
Book Rating : 4.4/5 (612 download)
Download or read book Algebraic Theories written by E.G. Manes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past decade, category theory has widened its scope and now inter acts with many areas of mathematics. This book develops some of the interactions between universal algebra and category theory as well as some of the resulting applications. We begin with an exposition of equationally defineable classes from the point of view of "algebraic theories," but without the use of category theory. This serves to motivate the general treatment of algebraic theories in a category, which is the central concern of the book. (No category theory is presumed; rather, an independent treatment is provided by the second chap ter.) Applications abound throughout the text and exercises and in the final chapter in which we pursue problems originating in topological dynamics and in automata theory. This book is a natural outgrowth of the ideas of a small group of mathe maticians, many of whom were in residence at the Forschungsinstitut für Mathematik of the Eidgenössische Technische Hochschule in Zürich, Switzerland during the academic year 1966-67. It was in this stimulating atmosphere that the author wrote his doctoral dissertation. The "Zürich School," then, was Michael Barr, Jon Beck, John Gray, Bill Lawvere, Fred Linton, and Myles Tierney (who were there) and (at least) Harry Appelgate, Sammy Eilenberg, John Isbell, and Saunders Mac Lane (whose spiritual presence was tangible.) I am grateful to the National Science Foundation who provided support, under grants GJ 35759 and OCR 72-03733 A01, while I wrote this book.
Author : Helle Hvid Hansen
Publisher : Springer Nature
ISBN 13 : 3031107365
Total Pages : 210 pages
Book Rating : 4.0/5 (311 download)
Download or read book Coalgebraic Methods in Computer Science written by Helle Hvid Hansen and published by Springer Nature. This book was released on 2022-07-22 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 16th International Workshop on Coalgebraic Methods in Computer Science, CMCS 2022, colocated with ETAPS 2022, held in Munich, Germany, in April 2022. The 9 revised full papers were carefully reviewed and selected from 12 submissions. The papers cover a wide range of topics in the theory, logics, and applications of coalgebras.
Author : Michael Barr
Publisher : American Mathematical Soc.
ISBN 13 : 0821828770
Total Pages : 194 pages
Book Rating : 4.8/5 (218 download)
Download or read book Acyclic Models written by Michael Barr and published by American Mathematical Soc.. This book was released on 2002 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acyclic models is a method heavily used to analyze and compare various homology and cohomology theories appearing in topology and algebra. This book is the first attempt to put together in a concise form this important technique and to include all the necessary background. It presents a brief introduction to category theory and homological algebra. The author then gives the background of the theory of differential modules and chain complexes over an abelian category to state the main acyclic models theorem, generalizing and systemizing the earlier material. This is then applied to various cohomology theories in algebra and topology. The volume could be used as a text for a course that combines homological algebra and algebraic topology. Required background includes a standard course in abstract algebra and some knowledge of topology. The volume contains many exercises. It is also suitable as a reference work for researchers.
Author :
Publisher :
ISBN 13 :
Total Pages : 1378 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts written by and published by . This book was released on 1966 with total page 1378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstracts of dissertations and monographs in microform.
Author : Horst Herrlich
Publisher :
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.:/5 (318 download)
Download or read book Category Theory written by Horst Herrlich and published by . This book was released on 1979 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents category theory as a convenient new language--one which ties together earlier notions, which puts may existing results into their proper perspective, and provides a means for appreciation of the unity that exists in modern mathematics despite tendencies toward fragmentation and specialization. Readers who are reasonably acquainted with set theory, modern algebra, and general topology should find this book a thorough introduction to the theory of categories. By tying new concepts to concrete examples, it is hoped that the relatively high level of abstraction embodied in category theory can be kept from becoming high level obfuscation. There are numerous examples and exercises, making this text appropriate for the early stages of graduate study, or honors courses for undergraduates.
Author : Marco Grandis
Publisher : World Scientific
ISBN 13 : 9811248370
Total Pages : 372 pages
Book Rating : 4.8/5 (112 download)
Download or read book Algebraic Topology: A Structural Introduction written by Marco Grandis and published by World Scientific. This book was released on 2021-12-24 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Topology is a system and strategy of partial translations, aiming to reduce difficult topological problems to algebraic facts that can be more easily solved. The main subject of this book is singular homology, the simplest of these translations. Studying this theory and its applications, we also investigate its underlying structural layout - the topics of Homological Algebra, Homotopy Theory and Category Theory which occur in its foundation.This book is an introduction to a complex domain, with references to its advanced parts and ramifications. It is written with a moderate amount of prerequisites — basic general topology and little else — and a moderate progression starting from a very elementary beginning. A consistent part of the exposition is organised in the form of exercises, with suitable hints and solutions.It can be used as a textbook for a semester course or self-study, and a guidebook for further study.
Author : Ernest G. Manes
Publisher : Springer
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.3/5 (91 download)
Download or read book Category Theory Applied to Computation and Control written by Ernest G. Manes and published by Springer. This book was released on 1975 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the results of a symposium which brought together scientists interested in applying modern algebraic techniques to problems in control & computer science.
Author :
Publisher :
ISBN 13 :
Total Pages : 474 pages
Book Rating : 4.3/5 (91 download)
Download or read book Matematychni studiï written by and published by . This book was released on 2001 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Clote
Publisher : Springer Science & Business Media
ISBN 13 : 3662049430
Total Pages : 612 pages
Book Rating : 4.6/5 (62 download)
Download or read book Boolean Functions and Computation Models written by Peter Clote and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two internationally renowned authors elucidate the structure of "fast" parallel computation. Its complexity is emphasised through a variety of techniques ranging from finite combinatorics, probability theory and finite group theory to finite model theory and proof theory. Non-uniform computation models are studied in the form of Boolean circuits; uniform ones in a variety of forms. Steps in the investigation of non-deterministic polynomial time are surveyed as is the complexity of various proof systems. Providing a survey of research in the field, the book will benefit advanced undergraduates and graduate students as well as researchers.
Author : Emily Riehl
Publisher : Cambridge University Press
ISBN 13 : 1139952633
Total Pages : 371 pages
Book Rating : 4.1/5 (399 download)
Download or read book Categorical Homotopy Theory written by Emily Riehl and published by Cambridge University Press. This book was released on 2014-05-26 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by which one typically first encounters homotopy (co)limits: either as derived functors definable when the appropriate diagram categories admit a compatible model structure, or through particular formulae that give the right notion in certain examples. Emily Riehl unifies these seemingly rival perspectives and demonstrates that model structures on diagram categories are irrelevant. Homotopy (co)limits are explained to be a special case of weighted (co)limits, a foundational topic in enriched category theory. In Part II, Riehl further examines this topic, separating categorical arguments from homotopical ones. Part III treats the most ubiquitous axiomatic framework for homotopy theory - Quillen's model categories. Here, Riehl simplifies familiar model categorical lemmas and definitions by focusing on weak factorization systems. Part IV introduces quasi-categories and homotopy coherence.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.:/5 (35 download)
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1969 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains articles of significant interest to mathematicians, including reports on current mathematical research.
Author : Michel André
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.3/5 (91 download)
Download or read book Méthode Simpliciale en Algèbre Homologique Et Algèbre Commutative written by Michel André and published by . This book was released on 1967 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.U/5 (183 download)
Download or read book Collectanea Mathematica written by and published by . This book was released on 1984 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Columbia University. Graduate Faculties
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.F/5 ( download)
Download or read book Masters' Essays and Doctoral Dissertations written by Columbia University. Graduate Faculties and published by . This book was released on 1964 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
