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Appalachian Set Theory
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Book Synopsis Appalachian Set Theory by : James Cummings
Download or read book Appalachian Set Theory written by James Cummings and published by Cambridge University Press. This book was released on 2012-11-15 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience.
Book Synopsis Appalachian Set Theory by : James Cummings
Download or read book Appalachian Set Theory written by James Cummings and published by . This book was released on 2012 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers based on a series of workshops where prominent researchers present exciting developments in set theory to a broad audience.
Download or read book Appalachian Set Theory written by and published by . This book was released on 2013 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume takes its name from a popular series of intensive mathematics workshops hosted at institutions in Appalachia and surrounding areas. At these meetings, internationally prominent set theorists give one-day lectures that focus on important new directions, methods, tools, and results so that non-experts can begin to master these and incorporate them into their own research. Each chapter in this volume was written by the workshop leaders in collaboration with select student participants, and together they represent most of the meetings from the period 2006-2012. Topics covered include forcing and large cardinals, descriptive set theory, and applications of set theoretic ideas in group theory and analysis, making this volume essential readings for a wide range of researchers and graduate students.
Book Synopsis Trends in Set Theory by : Samuel Coskey
Download or read book Trends in Set Theory written by Samuel Coskey and published by American Mathematical Soc.. This book was released on 2020-06-18 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of Simon Fest, held in honor of Simon Thomas's 60th birthday, from September 15–17, 2017, at Rutgers University, Piscataway, New Jersey. The topics covered showcase recent advances from a variety of main areas of set theory, including descriptive set theory, forcing, and inner model theory, in addition to several applications of set theory, including ergodic theory, combinatorics, and model theory.
Book Synopsis Combinatorial Set Theory of C*-algebras by : Ilijas Farah
Download or read book Combinatorial Set Theory of C*-algebras written by Ilijas Farah and published by Springer Nature. This book was released on 2019-12-24 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras. The interplay between logic and operator algebras (C*-algebras, in particular) is relatively young and the author is at the forefront of this interaction. The deep level of scholarship contained in these pages is evident and opens doors to operator algebraists interested in learning about the set-theoretic methods relevant to their field, as well as to set-theorists interested in expanding their view to the non-commutative realm of operator algebras. Enough background is included from both subjects to make the book a convenient, self-contained source for students. A fair number of the exercises form an integral part of the text. They are chosen to widen and deepen the material from the corresponding chapters. Some other exercises serve as a warmup for the latter chapters.
Book Synopsis Topological Methods in Group Theory by : N. Broaddus
Download or read book Topological Methods in Group Theory written by N. Broaddus and published by Cambridge University Press. This book was released on 2018-09-06 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Details some of the most recent developments at the interface of topology and geometric group theory. Ideal for graduate students.
Book Synopsis Geometric and Cohomological Group Theory by : Peter H. Kropholler
Download or read book Geometric and Cohomological Group Theory written by Peter H. Kropholler and published by Cambridge University Press. This book was released on 2018 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys the state of the art in geometric and cohomological group theory. Ideal entry point for young researchers.
Book Synopsis Advances in Two-Dimensional Homotopy and Combinatorial Group Theory by : Wolfgang Metzler
Download or read book Advances in Two-Dimensional Homotopy and Combinatorial Group Theory written by Wolfgang Metzler and published by Cambridge University Press. This book was released on 2018 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Useful for both students and experts.
Book Synopsis Fast Track to Forcing by : Mirna Džamonja
Download or read book Fast Track to Forcing written by Mirna Džamonja and published by Cambridge University Press. This book was released on 2020-10-15 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: For those who wonder if the forcing theory is beyond their means: no. Directions to research in forcing are given.
Book Synopsis Infinity and Truth by : Chitat Chong
Download or read book Infinity and Truth written by Chitat Chong and published by World Scientific. This book was released on 2013-11-28 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011. The chapters cover topics in mathematical and philosophical logic that examine various aspects of the foundations of mathematics. The theme of the volume focuses on two basic foundational questions: (i) What is the nature of mathematical truth and how does one resolve questions that are formally unsolvable within the Zermelo–Fraenkel Set Theory with the Axiom of Choice, and (ii) Do the discoveries in mathematics provide evidence favoring one philosophical view over others? These issues are discussed from the vantage point of recent progress in foundational studies. The final chapter features questions proposed by the participants of the Workshop that will drive foundational research. The wide range of topics covered here will be of interest to students, researchers and mathematicians concerned with issues in the foundations of mathematics. Contents:Invited Lectures:Absoluteness, Truth, and Quotients (Ilijas Farah)A Multiverse Perspective on the Axiom of Constructiblity (Joel David Hamkins)Hilbert, Bourbaki and the Scorning of Logic (A R D Mathias)Toward Objectivity in Mathematics (Stephen G Simpson)Sort Logic and Foundations of Mathematics (Jouko Väänänen)Reasoning about Constructive Concepts (Nik Weaver)Perfect Infinites and Finite Approximation (Boris Zilber)Special Session:An Objective Justification for Actual Infinity? (Stephen G Simpson)Oracle Questions (Theodore A Slaman and W Hugh Woodin) Readership: Mathematicians, philosophers, scientists, graduate students, academic institutions, and research organizations interested in logic and the philosophy of mathematics. Keywords:Mathematical Logic;Foundations of Mathematics;Philosophy of Mathematics;Mathematical Truth;Infinity;Set Theory;Proof Theory;MultiverseKey Features:All the contributors are world-renownedThe final chapter is written by Theodore A Slaman and W Hugh Woodin, who are two of the leading logicians in the world. They are also the volume editors
Book Synopsis Algebraic Combinatorics and the Monster Group by : Alexander A. Ivanov
Download or read book Algebraic Combinatorics and the Monster Group written by Alexander A. Ivanov and published by Cambridge University Press. This book was released on 2023-08-17 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering, arguably, one of the most attractive and mysterious mathematical objects, the Monster group, this text strives to provide an insightful introduction and the discusses the current state of the field. The Monster group is related to many areas of mathematics, as well as physics, from number theory to string theory. This book cuts through the complex nature of the field, highlighting some of the mysteries and intricate relationships involved. Containing many meaningful examples and a manual introduction to the computer package GAP, it provides the opportunity and resources for readers to start their own calculations. Some 20 experts here share their expertise spanning this exciting field, and the resulting volume is ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.
Book Synopsis Reversibility in Dynamics and Group Theory by : Anthony G. O'Farrell
Download or read book Reversibility in Dynamics and Group Theory written by Anthony G. O'Farrell and published by Cambridge University Press. This book was released on 2015-05-28 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible yet systematic account of reversibility that demonstrates its impact throughout many diverse areas of mathematics.
Book Synopsis Category Theory in Physics, Mathematics, and Philosophy by : Marek Kuś
Download or read book Category Theory in Physics, Mathematics, and Philosophy written by Marek Kuś and published by Springer Nature. This book was released on 2019-11-11 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions gathered here demonstrate how categorical ontology can provide a basis for linking three important basic sciences: mathematics, physics, and philosophy. Category theory is a new formal ontology that shifts the main focus from objects to processes. The book approaches formal ontology in the original sense put forward by the philosopher Edmund Husserl, namely as a science that deals with entities that can be exemplified in all spheres and domains of reality. It is a dynamic, processual, and non-substantial ontology in which all entities can be treated as transformations, and in which objects are merely the sources and aims of these transformations. Thus, in a rather surprising way, when employed as a formal ontology, category theory can unite seemingly disparate disciplines in contemporary science and the humanities, such as physics, mathematics and philosophy, but also computer and complex systems science.
Book Synopsis E-Recursion, Forcing and C*-Algebras by : Chitat Chong
Download or read book E-Recursion, Forcing and C*-Algebras written by Chitat Chong and published by World Scientific. This book was released on 2014-05-28 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the lecture notes of short courses given by three leading experts in mathematical logic at the 2012 Asian Initiative for Infinity Logic Summer School. The major topics cover set-theoretic forcing, higher recursion theory, and applications of set theory to C*-algebra. This volume offers a wide spectrum of ideas and techniques introduced in contemporary research in the field of mathematical logic to students, researchers and mathematicians. Contents:Selected Applications of Logic to Classification Problem for C*-Algebras (Ilijas Farah)Subcomplete Forcing and L-Forcing (Ronald Jensen)E-Recursion (Gerald E Sacks) Readership: Mathematics graduate students, researchers in logic, set theory and related areas. Key Features:These are notes based on short courses given by three leading experts in set theory, recursion theory and their applicationsKeywords:Logic;Set Theory;Forcing;E-recursion;C*-Algebra;Recursion Theory;Computability Theory
Book Synopsis Proceedings of the 11th Asian Logic Conference by : Toshiyasu Arai
Download or read book Proceedings of the 11th Asian Logic Conference written by Toshiyasu Arai and published by World Scientific. This book was released on 2011-08-10 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Asian Logic Conference is part of the series of logic conferences inaugurated in Singapore in 1981. It is normally held every three years and rotates among countries in the Asia-Pacific region. The 11th Asian Logic Conference was held at the National University of Singapore, in honor of Professor Chong Chitat on the occasion of his 60th birthday. The conference is on the broad area of logic, including theoretical computer science. It is considered a major event in this field and is regularly sponsored by the Association of Symbolic Logic. This volume contains papers from this meeting. Contents:Provably Δ02 and Weakly Descending Chains (T Arai)Amalgamation, Absoluteness, and Categoricity (J Baldwin)K-Trivials are Never Continuously Random (G Barmpalias, N Greenberg, A Montalbán and T Slaman)Limitwise Monotonic Functions and Their Applications (R Downey, A Kach and D Turetsky)A Dichotomy for the Mackey Borel Structure (I Farah)On Automatic Families (S Jain, Y Ong, Sh Pu and F Stephan)Cappable CEA Sets and Ramsey's Theorem (A Kach, M Lerman and R Solomon)Computable Dowd-Type Generic Oracles (M Kumabe and T Suzuki)Models of Long Sentences I (G Sacks)A Universally-Free Modal Logic (S Yang) Readership: Researchers in mathematical logic and algebra, computer scientists in artificial intelligence and fuzzy logic. Keywords:Mathematical Logic;Model;Computability;Modal Logic;Logic Calculus;Computable Models;Computer Science;Computable Numberings;Theory;Proofs;Formulas;Non-Classical Logic;Temporal Logic;Fuzzy Logic
Book Synopsis Proceedings of the 11th Asian Logic Conference by : Toshiyasu Arai
Download or read book Proceedings of the 11th Asian Logic Conference written by Toshiyasu Arai and published by World Scientific. This book was released on 2012 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provably [symbol] and weakly descending chains / T. Arai -- Amalgamation, absoluteness, and categoricity / J. Baldwin -- K-trivials are never continuously random / G. Barmpalias [und weitere] -- Limitwise monotonic functions and their applications / R. Downey, A. Kach and D. Turetsky -- A dichotomy for the Mackey Borel structure / I. Farah -- On automatic families / S. Jain [und weitere] -- Cappable CEA sets and Ramsey's theorem / A. Kach, M. Lerman and R. Solomon -- Computable Dowd-type generic oracles / M. Kumabe and T. Suzuki -- Models of long sentences I / G. Sacks -- A universally free modal logic / S. Yang
Book Synopsis Exercises in Cellular Automata and Groups by : Tullio Ceccherini-Silberstein
Download or read book Exercises in Cellular Automata and Groups written by Tullio Ceccherini-Silberstein and published by Springer Nature. This book was released on 2023-11-01 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book complements the authors’ monograph Cellular Automata and Groups [CAG] (Springer Monographs in Mathematics). It consists of more than 600 fully solved exercises in symbolic dynamics and geometric group theory with connections to geometry and topology, ring and module theory, automata theory and theoretical computer science. Each solution is detailed and entirely self-contained, in the sense that it only requires a standard undergraduate-level background in abstract algebra and general topology, together with results established in [CAG] and in previous exercises. It includes a wealth of gradually worked out examples and counterexamples presented here for the first time in textbook form. Additional comments provide some historical and bibliographical information, including an account of related recent developments and suggestions for further reading. The eight-chapter division from [CAG] is maintained. Each chapter begins with a summary of the main definitions and results contained in the corresponding chapter of [CAG]. The book is suitable either for classroom or individual use. Foreword by Rostislav I. Grigorchuk
