Автор: Yves Felix; Stephen Halperin; J.-C. Thomas Название: Rational Homotopy Theory ISBN: 1461265169 ISBN-13(EAN): 9781461265160 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: 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
Автор: John Greenlees Название: Axiomatic, Enriched and Motivic Homotopy Theory ISBN: 1402018339 ISBN-13(EAN): 9781402018336 Издательство: Springer Рейтинг: Цена: 29209.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Consists of a series of expository articles on axiomatic, enriched and motivic homotopy theory arising out of a NATO Advanced Study Institute at the Isaac Newton Institute for the Mathematical Sciences in Cambridge, UK in September 2002.
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: 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: 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: George W. Whitehead Название: Elements of Homotopy Theory ISBN: 1461263204 ISBN-13(EAN): 9781461263203 Издательство: Springer Рейтинг: Цена: 12577.00 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: Riehl Название: Categorical Homotopy Theory ISBN: 1107048451 ISBN-13(EAN): 9781107048454 Издательство: Cambridge Academ Рейтинг: Цена: 13622.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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