Etale Homotopy, Michael Artin; Barry Mazur

Автор: Yves Felix; Stephen Halperin; J.-C. Thomas
Название: Rational Homotopy Theory
ISBN: 1461265169 ISBN-13(EAN): 9781461265160
Издательство: Springer
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Описание: Written by three authorities in the field, this book contains all the main theorems of the field with complete proofs. As both notation and techniques of rational homotopy theory have been considerably simplified, the book presents modern elementary proofs for many results that were proven ten or fifteen years ago.

Автор: Vasile Marinca; Nicolae Herisanu
Название: The Optimal Homotopy Asymptotic Method
ISBN: 3319153730 ISBN-13(EAN): 9783319153735
Издательство: Springer
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Описание: The first chapter is introductory while the second chapter is devoted to a short history of the development of homotopy methods, including the basic ideas of the Optimal Homotopy Asymptotic Method.

Автор: Marc Aubry
Название: Homotopy Theory and Models
ISBN: 3764351853 ISBN-13(EAN): 9783764351854
Издательство: Springer
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Описание: In keeping with the general aim of the "D.M.V.-Seminar" series, this book is princi- pally a report on a group of lectures held at Blaubeuren by Professors H. For basic notions (in particular those concerning homotopy groups, CW- complexes, (co)homology and homological algebra) the reader is advised to refer to the fundamental books written by E.

Автор: Jardine John F.
Название: Local Homotopy Theory
ISBN: 1493922998 ISBN-13(EAN): 9781493922994
Издательство: Springer
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Описание: Local Homotopy Theory

Автор: Paul G. Goerss; John F. Jardine
Название: Simplicial Homotopy Theory
ISBN: 3034897375 ISBN-13(EAN): 9783034897372
Издательство: Springer
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Описание:

Since the beginning of the modern era of algebraic topology, simplicial
methods have been used systematically and effectively for both computation and basic theory. With the development of Quillen's concept of a closed model category and, in particular, a simplicial model category, this collection of methods has become the primary way to describe non-abelian homological algebra and to address homotopy-theoretical issues in a variety of fields, including algebraic K-theory. This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques.

Автор: Griffiths Phillip
Название: Rational Homotopy Theory and Differential Forms
ISBN: 1461484677 ISBN-13(EAN): 9781461484677
Издательство: Springer
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Описание: Rational Homotopy Theory and Differential Forms

Автор: George W. Whitehead
Название: Elements of Homotopy Theory
ISBN: 1461263204 ISBN-13(EAN): 9781461263203
Издательство: Springer
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Описание: Indeed, if the order in which the results presented here does not strictly correspond to that in which they were discovered, it nevertheless does correspond to an order in which they might have been discovered had those of us who were working in the area been a little more perspicacious.

Автор: Riehl
Название: Categorical Homotopy Theory
ISBN: 1107048451 ISBN-13(EAN): 9781107048454
Издательство: Cambridge Academ
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Описание: This categorical perspective on homotopy theory helps consolidate and simplify one`s understanding of derived functors, homotopy limits and colimits, and model categories, among others.