The Geometry Of Iterated Loop Spaces

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The Geometry Of Iterated Loop Spaces

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Author : J. Peter May
language : en
Publisher:
Release Date : 1972

The Geometry Of Iterated Loop Spaces written by J. Peter May and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Categories (Mathematics) categories.

The Geometry Of Iterated Loop Spaces

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Author : J.P. May
language : en
Publisher: Springer
Release Date : 2006-11-15

The Geometry Of Iterated Loop Spaces written by J.P. May and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

The Geometry Of Iterated Loop Spaces

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Author : J. Peter May
language : en
Publisher:
Release Date : 1972

The Geometry Of Iterated Loop Spaces written by J. Peter May and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Categories (Mathematics) categories.

The Homology Of Iterated Loop Spaces

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Author : F. R. Cohen
language : en
Publisher: Springer
Release Date : 2007-01-05

The Homology Of Iterated Loop Spaces written by F. R. Cohen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-05 with Mathematics categories.

Geometry Of Loop Spaces And The Cobar Construction

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Author : Hans J. Baues
language : en
Publisher: American Mathematical Soc.
Release Date : 1980

Geometry Of Loop Spaces And The Cobar Construction written by Hans J. Baues and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.

The homology of iterated loop spaces [capital Greek]Omega [superscript]n [italic]X has always been a problem of major interest because it gives some insight into the homotopy of [italic]X, among other things. Therefore, if [italic]X is a CW-complex, one has been interested in small CW models for [capital Greek]Omega [superscript]n [italic]X in order to compute the cellular chain complex. The author proves a very general model theorem from which he can derive models, in addition to very technical proofs of the model theorem for several other models.

From Categories To Homotopy Theory

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Author : Birgit Richter
language : en
Publisher: Cambridge University Press
Release Date : 2020-04-16

From Categories To Homotopy Theory written by Birgit Richter 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 2020-04-16 with Mathematics categories.

Bridge the gap between category theory and its applications in homotopy theory with this guide for graduate students and researchers.

A Concise Course In Algebraic Topology

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Author : J. P. May
language : en
Publisher: University of Chicago Press
Release Date : 1999-09

A Concise Course In Algebraic Topology written by J. P. May and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09 with Mathematics categories.

Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.

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.

Modern Classical Homotopy Theory

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Author : Jeffrey Strom
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-10-19

Modern Classical Homotopy Theory written by Jeffrey Strom and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-19 with Mathematics categories.

The core of classical homotopy theory is a body of ideas and theorems that emerged in the 1950s and was later largely codified in the notion of a model category. This core includes the notions of fibration and cofibration; CW complexes; long fiber and cofiber sequences; loop spaces and suspensions; and so on. Brown's representability theorems show that homology and cohomology are also contained in classical homotopy theory. This text develops classical homotopy theory from a modern point of view, meaning that the exposition is informed by the theory of model categories and that homotopy limits and colimits play central roles. The exposition is guided by the principle that it is generally preferable to prove topological results using topology (rather than algebra). The language and basic theory of homotopy limits and colimits make it possible to penetrate deep into the subject with just the rudiments of algebra. The text does reach advanced territory, including the Steenrod algebra, Bott periodicity, localization, the Exponent Theorem of Cohen, Moore, and Neisendorfer, and Miller's Theorem on the Sullivan Conjecture. Thus the reader is given the tools needed to understand and participate in research at (part of) the current frontier of homotopy theory. Proofs are not provided outright. Rather, they are presented in the form of directed problem sets. To the expert, these read as terse proofs; to novices they are challenges that draw them in and help them to thoroughly understand the arguments.

Algebraic Topology Aarhus 1978

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Author : J. L. Dupont
language : en
Publisher: Springer
Release Date : 2006-11-15

Algebraic Topology Aarhus 1978 written by J. L. Dupont and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

University of Aarhus, 50. Anniversary, 11 September 1978