Advances in the Homotopy Analysis Method, Liao Shijun

Автор: Vasile Marinca; Nicolae Herisanu
Название: The Optimal Homotopy Asymptotic Method
ISBN: 3319153730 ISBN-13(EAN): 9783319153735
Издательство: Springer
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Описание: The first chapter is introductory while the second chapter is devoted to a short history of the development of homotopy methods, including the basic ideas of the Optimal Homotopy Asymptotic Method.

Автор: Marc Aubry
Название: Homotopy Theory and Models
ISBN: 3764351853 ISBN-13(EAN): 9783764351854
Издательство: Springer
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Описание: In keeping with the general aim of the "D.M.V.-Seminar" series, this book is princi- pally a report on a group of lectures held at Blaubeuren by Professors H. For basic notions (in particular those concerning homotopy groups, CW- complexes, (co)homology and homological algebra) the reader is advised to refer to the fundamental books written by E.

Автор: George W. Whitehead
Название: Elements of Homotopy Theory
ISBN: 1461263204 ISBN-13(EAN): 9781461263203
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: 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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Автор: H-J. Baues; A. Quintero
Название: Infinite Homotopy Theory
ISBN: 9401064938 ISBN-13(EAN): 9789401064934
Издательство: Springer
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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: Hans-Joachim Baues
Название: Combinatorial Foundation of Homology and Homotopy
ISBN: 3642084478 ISBN-13(EAN): 9783642084478
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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: Jardine John F.
Название: Local Homotopy Theory
ISBN: 1493922998 ISBN-13(EAN): 9781493922994
Издательство: Springer
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Описание: Local Homotopy Theory

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

Автор: John F. Jardine
Название: Local Homotopy Theory
ISBN: 1493940449 ISBN-13(EAN): 9781493940448
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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.