Invitation to Computational Homotopy, Ellis Graham

Автор: Birgit Richter
Название: From Categories to Homotopy Theory
ISBN: 1108479626 ISBN-13(EAN): 9781108479622
Издательство: Cambridge Academ
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Цена: 61240.00 T
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Описание: Category theory structures the mathematical world and is seen everywhere in modern mathematics. This book, suitable for graduate students or researchers with a background in algebraic topology and algebra, provides a self-contained introduction to the theory and explains its important applications to homotopy theory.

Автор: Hans-Joachim Baues
Название: Combinatorial Foundation of Homology and Homotopy
ISBN: 3642084478 ISBN-13(EAN): 9783642084478
Издательство: Springer
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Цена: 111760.00 T
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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: Liao Shijun
Название: Advances in the Homotopy Analysis Method
ISBN: 9814551244 ISBN-13(EAN): 9789814551243
Издательство: World Scientific Publishing
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Цена: 142560.00 T
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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: Ellis, Graham
Название: An Invitation to computational homotopy
ISBN: 0198832974 ISBN-13(EAN): 9780198832973
Издательство: Oxford Academ
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Цена: 126720.00 T
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Описание: An Invitation to Computational Homotopy is an introduction to elementary algebraic topology for those with an interest in computers and computer programming. It expertly illustrates how the basics of the subject can be implemented on a computer through its focus on fully-worked examples designed to develop problem solving techniques.

Автор: Bergner, Julia E. (university Of Virginia)
Название: The Homotopy theory of (?,1)-categories
ISBN: 110749902X ISBN-13(EAN): 9781107499027
Издательство: Cambridge Academ
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Цена: 40130.00 T
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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: Bunke Ulrich, Engel Alexander
Название: Homotopy Theory with Bornological Coarse Spaces
ISBN: 3030513343 ISBN-13(EAN): 9783030513344
Издательство: Springer
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Цена: 55890.00 T
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Описание: It introduces the category of bornological coarse spaces and the notion of a coarse homology theory, and further constructs the universal coarse homology theory.

Автор: Schwede, Stefan (rheinische Friedrich-wilhelms-universitat Bonn)
Название: Global homotopy theory
ISBN: 110842581X ISBN-13(EAN): 9781108425810
Издательство: Cambridge Academ
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Цена: 180570.00 T
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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.

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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Цена: 46540.00 T
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Автор: Bergner, Julia E. (university Of Virginia)
Название: Homotopy theory of (гївївѕ ,1)-categories
ISBN: 1107101360 ISBN-13(EAN): 9781107101364
Издательство: Cambridge Academ
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Цена: 116160.00 T
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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: 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)
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Цена: 107850.00 T
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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: George W. Whitehead
Название: Elements of Homotopy Theory
ISBN: 1461263204 ISBN-13(EAN): 9781461263203
Издательство: Springer
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Цена: 83850.00 T
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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: H-J. Baues; A. Quintero
Название: Infinite Homotopy Theory
ISBN: 9401064938 ISBN-13(EAN): 9789401064934
Издательство: Springer
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Цена: 46570.00 T
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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.