Rational Homotopy Theory and Differential Forms, Griffiths Phillip

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: Krzysztof P. Rybakowski
Название: The Homotopy Index and Partial Differential Equations
ISBN: 3540180672 ISBN-13(EAN): 9783540180678
Издательство: Springer
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Описание: The homotopy or Conley index, which provides an algebraic-topologi- cal measure of an isolated invariant set, is defined to be the ho- motopy type of the quotient space N /N , where is a certain 1 2 1 2 compact pair, called an index pair.

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

Автор: George W. Whitehead
Название: Elements of Homotopy Theory
ISBN: 0387903364 ISBN-13(EAN): 9780387903361
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: John F. Jardine
Название: Local Homotopy Theory
ISBN: 1493940449 ISBN-13(EAN): 9781493940448
Издательство: Springer
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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.

Автор: Bergner, Julia E. (university Of Virginia)
Название: The Homotopy theory of (?,1)-categories
ISBN: 110749902X ISBN-13(EAN): 9781107499027
Издательство: Cambridge Academ
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Описание: Homotopical or ( ,1)-categories have become a significant framework in many areas of mathematics. This book gives an introduction to the different approaches to these structures and the comparisons between them from the perspective of 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.

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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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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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.

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

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