Homotopy Theory: Tools and Applications, Daniel G. Davis, Hans-Werner Henn, J.F. Jardine, Mark W. Johnson, Charles Rezk
Автор: Bergner, Julia E. (university Of Virginia) Название: The Homotopy theory of (?,1)-categories ISBN: 110749902X ISBN-13(EAN): 9781107499027 Издательство: Cambridge Academ Рейтинг: Цена: 40130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Homotopical or ( ,1)-categories have become a significant framework in many areas of mathematics. This book gives an introduction to the different approaches to these structures and the comparisons between them from the perspective of homotopy theory.
Автор: Emmanuel D. Farjoun Название: Cellular Spaces, Null Spaces and Homotopy Localization ISBN: 3540606041 ISBN-13(EAN): 9783540606048 Издательство: Springer Рейтинг: Цена: 32560.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Relates to advances in periodicity in homotopy localization and in cellular spaces. The notion of homotopy localization is treated quite generally and encompasses all the known idempotent homotopy functors. This book is written with an advanced graduate student in topology and research homotopy theorist in mind.
Автор: George W. Whitehead Название: Elements of Homotopy Theory ISBN: 0387903364 ISBN-13(EAN): 9780387903361 Издательство: Springer Рейтинг: Цена: 102480.00 T 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: Vasile Marinca; Nicolae Herisanu Название: The Optimal Homotopy Asymptotic Method ISBN: 3319153730 ISBN-13(EAN): 9783319153735 Издательство: Springer Рейтинг: Цена: 130610.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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.
Название: Handbook of homotopy theory ISBN: 0815369700 ISBN-13(EAN): 9780815369707 Издательство: Taylor&Francis Рейтинг: Цена: 275610.00 T Наличие на складе: Невозможна поставка. Описание: The Handbook of Homotopy established the state-of-the-art research on this emerging topic in topology. The list of topics and contributors is impressive. The topics cover a broad swath, and the contributors will do an outstanding job. Students particularly will findthis book to be an entree to an active field of study.
Автор: Liao Shijun Название: Advances in the Homotopy Analysis Method ISBN: 9814551244 ISBN-13(EAN): 9789814551243 Издательство: World Scientific Publishing Рейтинг: Цена: 142560.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters. Besides, it provides great freedom to choose equation type and solution expression of related linear high-order approximation equations. The HAM provides a simple way to guarantee the convergence of solution series. Such uniqueness differentiates the HAM from all other analytic approximation methods. In addition, the HAM can be applied to solve some challenging problems with high nonlinearity.This book, edited by the pioneer and founder of the HAM, describes the current advances of this powerful analytic approximation method for highly nonlinear problems. Coming from different countries and fields of research, the authors of each chapter are top experts in the HAM and its applications.
Автор: Benoit Fresse Название: Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 2: The Applications of (Rational) Homotopy Theory Methods ISBN: 1470434822 ISBN-13(EAN): 9781470434823 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 107850.00 T Наличие на складе: Невозможна поставка. Описание: The ultimate goal of this book is to explain that the Grothendieck-Teichmuller group, as defined by Drinfeld in quantum group theory, has a topological interpretation as a group of homotopy automorphisms associated to the little 2-disc operad. To establish this result, the applications of methods of algebraic topology to operads must be developed. This volume is devoted primarily to this subject, with the main objective of developing a rational homotopy theory for operads. The book starts with a comprehensive review of the general theory of model categories and of general methods of homotopy theory. The definition of the Sullivan model for the rational homotopy of spaces is revisited, and the definition of models for the rational homotopy of operads is then explained. The applications of spectral sequence methods to compute homotopy automorphism spaces associated to operads are also explained. This approach is used to get a topological interpretation of the Grothendieck-Teichmuller group in the case of the little 2-disc operad. This volume is intended for graduate students and researchers interested in the applications of homotopy theory methods in operad theory. It is accessible to readers with a minimal background in classical algebraic topology and operad theory.
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: 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: 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: Riehl Название: Categorical Homotopy Theory ISBN: 1107048451 ISBN-13(EAN): 9781107048454 Издательство: Cambridge Academ Рейтинг: Цена: 90810.00 T 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.
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.
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