Women in Topology: Collaborations in Homotopy Theory, Maria Basterra, Kristine Bauer, Kathryn Hess, Brenda Johnson

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: 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: Riehl
Название: Categorical Homotopy Theory
ISBN: 1107048451 ISBN-13(EAN): 9781107048454
Издательство: Cambridge Academ
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Цена: 90810.00 T
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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: 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.

Название: Handbook of homotopy theory
ISBN: 0815369700 ISBN-13(EAN): 9780815369707
Издательство: Taylor&Francis
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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: Felix Y., Halperin Stephen, Thomas J. -C
Название: Rational Homotopy Theory II
ISBN: 9814651427 ISBN-13(EAN): 9789814651424
Издательство: World Scientific Publishing
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Цена: 145730.00 T
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Описание: This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces, based on the minimal models introduced by Sullivan in his original seminal article.

Автор: Darby Alastair, Grbic Jelena, Lu Zhi, Wu Jie
Название: Combinatorial And Toric Homotopy: Introductory Lectures
ISBN: 9813226560 ISBN-13(EAN): 9789813226562
Издательство: World Scientific Publishing
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Цена: 156290.00 T
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Описание:

This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning.

The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology and illustrates an attempt to classify in a combinatorial way polytopes known as fullerenes, which are important objects in quantum physics, quantum chemistry and nanotechnology. Toric homotopy theory is then introduced as a further development of toric topology, which describes properties of Davis-Januszkiewicz spaces, moment-angle complexes and their generalizations to polyhedral products. The book also displays the current research on configuration spaces, braids, the theory of limits over the category of presentations and the theory of fr-codes. As an application to robotics, the book surveys topological problems relevant to the motion planning problem of robotics and includes new results and constructions, which enrich the emerging area of topological robotics.

The book is at research entry level addressing the core components in homotopy theory and their important applications in the sciences and thus suitable for advanced undergraduate and graduate students.

Автор: David Barnes, Constanze Roitzheim
Название: Foundations of Stable Homotopy Theory
ISBN: 1108482783 ISBN-13(EAN): 9781108482783
Издательство: Cambridge Academ
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Цена: 66530.00 T
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Описание: This comprehensive introduction to stable homotopy theory presents the foundations of this often daunting subject together in one place for the first time. Writing with beginning graduate students in mind, the authors begin with the motivating phenomena before discussing the general theory and moving on to current research and applications.

Автор: Daniel G. Davis, Hans-Werner Henn, J.F. Jardine, Mark W. Johnson, Charles Rezk
Название: Homotopy Theory: Tools and Applications
ISBN: 1470442442 ISBN-13(EAN): 9781470442446
Издательство: Mare Nostrum (Eurospan)
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Цена: 108680.00 T
Наличие на складе: Нет в наличии.
Описание: This volume contains the proceedings of the conference Homotopy Theory: Tools and Applications, in honor of Paul Goerss's 60th birthday, held from July 17-21, 2017, at the University of Illinois at Urbana-Champaign, Urbana, IL.The articles cover a variety of topics spanning the current research frontier of homotopy theory. This includes articles concerning both computations and the formal theory of chromatic homotopy, different aspects of equivariant homotopy theory and $K$-theory, as well as articles concerned with structured ring spectra, cyclotomic spectra associated to perfectoid fields, and the theory of higher homotopy operations.

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: 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.