Spaces of Homotopy Self-Equivalences - A Survey, John W. Rutter
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: Hans-Joachim Baues Название: Combinatorial Foundation of Homology and Homotopy ISBN: 3642084478 ISBN-13(EAN): 9783642084478 Издательство: Springer Рейтинг: Цена: 16764.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and we characterize axiomatically the assumptions under which such results hold. This leads to a new combinatorial foundation of homology and homotopy. Numerous explicit examples and applications in various fields of topology and algebra are given.
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.
Описание: An original and self-contained treatment of some key ideas in the abstract theory of topological dynamics, focussing on the role of automorphisms and equivalence relations. This approach leads to simpler proofs of classical results and provides motivation for further study, making this lucid book ideal for graduate students and researchers.
Автор: Krzysztof P. Rybakowski Название: The Homotopy Index and Partial Differential Equations ISBN: 3540180672 ISBN-13(EAN): 9783540180678 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: 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: 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: 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.
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