Handbook Of Homotopy Theory
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Handbook Of Homotopy Theory
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Author : Haynes Miller
language : en
Publisher: CRC Press
Release Date : 2020-01-23
Handbook Of Homotopy Theory written by Haynes Miller and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-23 with Mathematics categories.
The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.
Handbook Of Algebraic Topology
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Author : I.M. James
language : en
Publisher: Elsevier
Release Date : 1995-07-18
Handbook Of Algebraic Topology written by I.M. James and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-18 with Mathematics categories.
Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.
Handbook Of Algebraic Topology
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Author :
language : en
Publisher:
Release Date : 1995
Handbook Of Algebraic Topology written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Presents information on the "Handbook of Algebraic Topology," published by Elsevier Science. Includes a foreword, a list of contributors, and a subject index. Provides access to related journals and offers ordering information. Posts contact information via mailing address, telephone and fax numbers, and e-mail. Notes that algebraic topology, also known as homotopy theory, is a branch of modern mathematics.
A Handbook Of Model Categories
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Author : Scott Balchin
language : en
Publisher: Springer Nature
Release Date : 2021-10-29
A Handbook Of Model Categories written by Scott Balchin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-29 with Mathematics categories.
This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs. Quillen model categories are a fundamental tool for the understanding of homotopy theory. While many introductions to model categories fall back on the same handful of canonical examples, the present book highlights a large, self-contained collection of other examples which appear throughout the literature. In particular, it collects a highly scattered literature into a single volume. The book is aimed at anyone who uses, or is interested in using, model categories to study homotopy theory. It is written in such a way that it can be used as a reference guide for those who are already experts in the field. However, it can also be used as an introduction to the theory for novices.
Homotopy Type Theory Univalent Foundations Of Mathematics
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Author :
language : en
Publisher: Univalent Foundations
Release Date :
Homotopy Type Theory Univalent Foundations Of Mathematics written by and has been published by Univalent Foundations this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Handbook Of Topological Fixed Point Theory
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Author : Robert F. Brown
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-07-21
Handbook Of Topological Fixed Point Theory written by Robert F. Brown and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-21 with Mathematics categories.
This book will be especially useful for post-graduate students and researchers interested in the fixed point theory, particularly in topological methods in nonlinear analysis, differential equations and dynamical systems. The content is also likely to stimulate the interest of mathematical economists, population dynamics experts as well as theoretical physicists exploring the topological dynamics.
A User S Guide To Algebraic Topology
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Author : C. T. J. Dodson
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-01-31
A User S Guide To Algebraic Topology written by C. T. J. Dodson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-31 with Mathematics categories.
This book arose from courses taught by the authors, and is designed for both instructional and reference use during and after a first course in algebraic topology. It is a handbook for users who want to calculate, but whose main interests are in applications using the current literature, rather than in developing the theory. Typical areas of applications are differential geometry and theoretical physics. We start gently, with numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory that are needed in later chapters. We show how to calculate homotopy groups, homology groups and cohomology rings of most of the major theories, exact homotopy sequences of fibrations, some important spectral sequences, and all the obstructions that we can compute from these. Our approach is to mix illustrative examples with those proofs that actually develop transferable calculational aids. We give extensive appendices with notes on background material, extensive tables of data, and a thorough index. Audience: Graduate students and professionals in mathematics and physics.
Handbook Of Tilting Theory
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Author : Lidia Angeleri Hügel
language : en
Publisher: Cambridge University Press
Release Date : 2007-01-04
Handbook Of Tilting Theory written by Lidia Angeleri Hügel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-04 with Mathematics categories.
A handbook of key articles providing both an introduction and reference for newcomers and experts alike.
Handbook Of K Theory
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Author : Eric Friedlander
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-07-18
Handbook Of K Theory written by Eric Friedlander and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-18 with Mathematics categories.
This handbook offers a compilation of techniques and results in K-theory. Each chapter is dedicated to a specific topic and is written by a leading expert. Many chapters present historical background; some present previously unpublished results, whereas some present the first expository account of a topic; many discuss future directions as well as open problems. It offers an exposition of our current state of knowledge as well as an implicit blueprint for future research.
Motivic Homotopy Theory
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Author : Bjorn Ian Dundas
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-11
Motivic Homotopy Theory written by Bjorn Ian Dundas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-11 with Mathematics categories.
This book is based on lectures given at a summer school on motivic homotopy theory at the Sophus Lie Centre in Nordfjordeid, Norway, in August 2002. Aimed at graduate students in algebraic topology and algebraic geometry, it contains background material from both of these fields, as well as the foundations of motivic homotopy theory. It will serve as a good introduction as well as a convenient reference for a broad group of mathematicians to this important and fascinating new subject. Vladimir Voevodsky is one of the founders of the theory and received the Fields medal for his work, and the other authors have all done important work in the subject.