Combinatorial And Toric Homotopy: Introductory Lectures, Darby Alastair, Grbic Jelena, Lu Zhi, Wu Jie
Автор: Yves Felix; Stephen Halperin; J.-C. Thomas Название: Rational Homotopy Theory ISBN: 1461265169 ISBN-13(EAN): 9781461265160 Издательство: Springer Рейтинг: Цена: 74530.00 T 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: Benoit Fresse Название: Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 1: The Algebraic Theory and its Topological Background ISBN: 1470434814 ISBN-13(EAN): 9781470434816 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 107850.00 T Наличие на складе: Невозможна поставка. Описание: The Grothendieck-Teichmuller group was defined by Drinfeld in quantum group theory with insights coming from the Grothendieck program in Galois theory. The ultimate goal of this book is to explain that this group has a topological interpretation as a group of homotopy automorphisms associated to the operad of little 2-discs, which is an object used to model commutative homotopy structures in topology. This volume gives a comprehensive survey on the algebraic aspects of this subject. The book explains the definition of an operad in a general context, reviews the definition of the little discs operads, and explains the definition of the Grothendieck-Teichmuller group from the viewpoint of the theory of operads. In the course of this study, the relationship between the little discs operads and the definition of universal operations associated to braided monoidal category structures is explained. Also provided is a comprehensive and self-contained survey of the applications of Hopf algebras to the definition of a rationalization process, the Malcev completion, for groups and groupoids. Most definitions are carefully reviewed in the book; it requires minimal prerequisites to be accessible to a broad readership of graduate students and researchers interested in the applications of operads.
Автор: Michael Artin; Barry Mazur Название: Etale Homotopy ISBN: 3540046194 ISBN-13(EAN): 9783540046196 Издательство: Springer Рейтинг: Цена: 23250.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: John F. Jardine Название: Local Homotopy Theory ISBN: 1493940449 ISBN-13(EAN): 9781493940448 Издательство: Springer Рейтинг: Цена: 88500.00 T 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: Jaume Aguade; Carles Broto; Carles Casacuberta Название: Cohomological Methods in Homotopy Theory ISBN: 3034895135 ISBN-13(EAN): 9783034895132 Издательство: Springer Рейтинг: Цена: 139750.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Jardine John F. Название: Local Homotopy Theory ISBN: 1493922998 ISBN-13(EAN): 9781493922994 Издательство: Springer Рейтинг: Цена: 102480.00 T 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: 111760.00 T 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 W. Rutter Название: Spaces of Homotopy Self-Equivalences - A Survey ISBN: 3540631038 ISBN-13(EAN): 9783540631033 Издательство: Springer Рейтинг: Цена: 32600.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is a survey of spaces of homotopy self-equivalences. It discusses issues which include: manifolds of three dimensions or more; Whitehead torsion; unions and products; homotopy automorphisms of H-spaces; and nilpotency, rank and group actions.
Автор: Phillip Griffiths; John Morgan Название: Rational Homotopy Theory and Differential Forms ISBN: 1493936999 ISBN-13(EAN): 9781493936991 Издательство: Springer Рейтинг: Цена: 130430.00 T 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: Schwede, Stefan (rheinische Friedrich-wilhelms-universitat Bonn) Название: Global homotopy theory ISBN: 110842581X ISBN-13(EAN): 9781108425810 Издательство: Cambridge Academ Рейтинг: Цена: 180570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Global equivariant homotopy theory is presented in this self-contained book, ideal for graduate students and researchers in algebraic topology. It is a comprehensive research monograph at the forefront of current research, written by a leading expert. The book`s many examples and sample calculations make it suitable for an advanced graduate class.
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