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Local Homotopy Theory, John F. Jardine


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Автор: John F. Jardine
Название:  Local Homotopy Theory
ISBN: 9781493940448
Издательство: Springer
Классификация:


ISBN-10: 1493940449
Обложка/Формат: Paperback
Страницы: 508
Вес: 0.72 кг.
Дата издания: 09.10.2016
Серия: Springer Monographs in Mathematics
Язык: English
Размер: 234 x 156 x 27
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

Preface.- 1 Introduction.- Part I Preliminaries.- 2 Homotopy theory of simplicial sets.- 3 Some topos theory.- Part II Simplicial presheaves and simplicial sheaves.- 4 Local weak equivalences.- 5 Local model structures.- 6 Cocycles.- 7 Localization theories.- Part III Sheaf cohomology theory.- 8 Homology sheaves and cohomology groups.- 9 Non-abelian cohomology.- Part IV Stable homotopy theory.- 10 Spectra and T-spectra.- 11 Symmetric T-spectra.- References.- Index.




Rational Homotopy Theory

Автор: Yves Felix; Stephen Halperin; J.-C. Thomas
Название: Rational Homotopy Theory
ISBN: 1461265169 ISBN-13(EAN): 9781461265160
Издательство: Springer
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Цена: 11179.00 р.
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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.

Homotopy Theory and Models

Автор: Marc Aubry
Название: Homotopy Theory and Models
ISBN: 3764351853 ISBN-13(EAN): 9783764351854
Издательство: Springer
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Цена: 11173.00 р.
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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.

Rational Homotopy Theory and Differential Forms

Автор: Griffiths Phillip
Название: Rational Homotopy Theory and Differential Forms
ISBN: 1461484677 ISBN-13(EAN): 9781461484677
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Rational Homotopy Theory and Differential Forms

Simplicial 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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Цена: 16769.00 р.
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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.

Discussed here are the homotopy theory of simplicial sets, and other basic
topics such as simplicial groups, Postnikov towers, and bisimplicial sets.
The more advanced material includes homotopy limits and colimits,
localization with respect to a map and with respect to a homology theory,
cosimplicial spaces, and homotopy coherence. Interspersed throughout are
many results and ideas well-known to experts, but uncollected in the
literature.

Intended for second-year graduate students and beyond, this book introduces many of the basic tools of modern homotopy theory. An extensive background in topology is not assumed.

Rational Homotopy Theory and Differential Forms

Автор: Phillip Griffiths; John Morgan
Название: Rational Homotopy Theory and Differential Forms
ISBN: 1493936999 ISBN-13(EAN): 9781493936991
Издательство: Springer
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Цена: 19564.00 р.
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Описание:

This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham's theorem on simplicial complexes. In addition, Sullivan's results on computing the rational homotopy type from forms is presented.

New to the Second Edition:

*Fully-revised appendices including an expanded discussion of the Hirsch lemma

*Presentation of a natural proof of a Serre spectral sequence result

*Updated content throughout the book, reflecting advances in the area of homotopy theory

With its modern approach and timely revisions, this second edition of Rational Homotopy Theory and Differential Forms will be a valuable resource for graduate students and researchers in algebraic topology, differential forms, and homotopy theory.

Elements of Homotopy Theory

Автор: George W. Whitehead
Название: Elements of Homotopy Theory
ISBN: 0387903364 ISBN-13(EAN): 9780387903361
Издательство: Springer
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Цена: 15372.00 р.
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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.

Equivariant Stable Homotopy Theory

Автор: L. Gaunce Jr. Lewis; J.E. McClure; J. Peter May; M
Название: Equivariant Stable Homotopy Theory
ISBN: 3540168206 ISBN-13(EAN): 9783540168201
Издательство: Springer
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Цена: 6981.00 р.
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Elements of Homotopy Theory

Автор: George W. Whitehead
Название: Elements of Homotopy Theory
ISBN: 1461263204 ISBN-13(EAN): 9781461263203
Издательство: Springer
Рейтинг:
Цена: 12577.00 р.
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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.

Categorical Homotopy Theory

Автор: Riehl
Название: Categorical Homotopy Theory
ISBN: 1107048451 ISBN-13(EAN): 9781107048454
Издательство: Cambridge Academ
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Цена: 13622.00 р.
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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.

Rational Homotopy Theory II

Автор: Felix Y., Halperin Stephen, Thomas J. -C
Название: Rational Homotopy Theory II
ISBN: 9814651427 ISBN-13(EAN): 9789814651424
Издательство: World Scientific Publishing
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Цена: 21859.00 р.
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Описание: This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces, based on the minimal models introduced by Sullivan in his original seminal article.

Infinite Homotopy Theory

Автор: H-J. Baues; A. Quintero
Название: Infinite Homotopy Theory
ISBN: 9401064938 ISBN-13(EAN): 9789401064934
Издательство: Springer
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Цена: 6986.00 р.
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Описание: In handling non-compact spaces we must take into account the infinity behaviour of such spaces. Later, Freudenthal [ETR] gave a rigorous treatment of the topology of "ideal points" by introducing the space of "ends" of a non-compact space.

Local Homotopy Theory

Автор: Jardine John F.
Название: Local Homotopy Theory
ISBN: 1493922998 ISBN-13(EAN): 9781493922994
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Local Homotopy Theory


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