Rational Homotopy Theory, Yves Felix; Stephen Halperin; J.-C. Thomas
Автор: Griffiths Phillip Название: Rational Homotopy Theory and Differential Forms ISBN: 1461484677 ISBN-13(EAN): 9781461484677 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Rational Homotopy Theory and Differential Forms
Автор: Felix Y., Halperin Stephen, Thomas J. -C Название: Rational Homotopy Theory II ISBN: 9814651427 ISBN-13(EAN): 9789814651424 Издательство: World Scientific Publishing Рейтинг: Цена: 21859.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Phillip Griffiths; John Morgan Название: Rational Homotopy Theory and Differential Forms ISBN: 1493936999 ISBN-13(EAN): 9781493936991 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Paul G. Goerss; John F. Jardine Название: Simplicial Homotopy Theory ISBN: 3034897375 ISBN-13(EAN): 9783034897372 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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 Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: George W. Whitehead Название: Elements of Homotopy Theory ISBN: 0387903364 ISBN-13(EAN): 9780387903361 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: H-J. Baues; A. Quintero Название: Infinite Homotopy Theory ISBN: 9401064938 ISBN-13(EAN): 9789401064934 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Jardine John F. Название: Local Homotopy Theory ISBN: 1493922998 ISBN-13(EAN): 9781493922994 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Local Homotopy Theory
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