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Lie Models in Topology, Buijs Urtzi, Fйlix Yves, Murillo Aniceto


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Автор: Buijs Urtzi, Fйlix Yves, Murillo Aniceto
Название:  Lie Models in Topology
ISBN: 9783030544294
Издательство: Springer
Классификация:

ISBN-10: 303054429X
Обложка/Формат: Hardcover
Страницы: 283
Вес: 0.61 кг.
Дата издания: 24.01.2021
Язык: English
Размер: 23.39 x 15.60 x 1.91 cm
Ссылка на Издательство: Link
Поставляется из: Германии
Описание: Since the birth of rational homotopy theory, the possibility of extending the Quillen approach - in terms of Lie algebras - to a more general category of spaces, including the non-simply connected case, has been a challenge for the algebraic topologist community.

Algebraic topology

Автор: Hatcher A.
Название: Algebraic topology
ISBN: 0521795400 ISBN-13(EAN): 9780521795401
Издательство: Cambridge Academ
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Цена: 40120.00 T
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Описание: An introductory textbook suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.

Elements of combinatorial and differential topology

Автор: Prasolov, V. V.
Название: Elements of combinatorial and differential topology
ISBN: 0821838091 ISBN-13(EAN): 9780821838099
Издательство: American Technical Publishers
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Цена: 63880.00 T
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Описание: Modern topology uses very diverse methods. This book deals with the methods of combinatorial topology, which reduce the study of topological spaces to investigations of their partitions into elementary sets, and to methods of differential topology, which deal with smooth manifolds and smooth maps.

Non-Associative Normed Algebras

Автор: Miguel Cabrera Garcia, Angel Rodriguez Palacios
Название: Non-Associative Normed Algebras
ISBN: 1107043115 ISBN-13(EAN): 9781107043114
Издательство: Cambridge Academ
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Цена: 174240.00 T
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Описание: The second of two volumes on non-associative normed algebras, reorganises an enormous amount of research material dispersed across hundreds of papers, producing new results. It provides a unique treatment, intended for both researchers and graduate students.

The Homotopy theory of (?,1)-categories

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.

New Foundations for Geometry: Two Non-Additive Languages for Arithmetical Geometry

Автор: Shai M. J. Haran
Название: New Foundations for Geometry: Two Non-Additive Languages for Arithmetical Geometry
ISBN: 147042312X ISBN-13(EAN): 9781470423124
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: Presents two simple generalizations of commutative rings. They form (co)-complete categories, that contain commutative (semi-) rings. But they also contains the ""integers"" (and ), and the ""residue fields"" (and ), of the real (and complex) numbers. Here is the collection of unit balls, and is the collection of spheres augmented with a. The initial object is ""the field with one element"".

The Block Theory of Finite Group Algebras: Volume 2

Автор: Markus Linckelmann
Название: The Block Theory of Finite Group Algebras: Volume 2
ISBN: 1108425909 ISBN-13(EAN): 9781108425902
Издательство: Cambridge Academ
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Цена: 111930.00 T
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Описание: Graduate students and researchers in modular representation theory, especially block theory, will find this systematic introduction indispensable. The two volumes include detailed treatments of classic material as well as more modern developments which have not appeared in any book before, giving readers a comprehensive overview of the subject.

Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields

Автор: Rudolph Gerd, Schmidt Matthias
Название: Differential Geometry and Mathematical Physics: Part II. Fibre Bundles, Topology and Gauge Fields
ISBN: 9402414495 ISBN-13(EAN): 9789402414493
Издательство: Springer
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Цена: 232910.00 T
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Описание: Fibre bundles and connections.- Linear connections and Riemannian geometry.- Homotopy theory of principal fibre bundles. Classification.- Cohomology theory of fibre bundles. Characteristic classes.- Clifford algebras, spin structures and Dirac operators.- The Yang-Mills equation.- Matter fields and model building.- The gauge orbit space.- Elements of quantum gauge theory.- A Field restriction and field extension.- B The Conformal Group of the 4-sphere.- C Simple Lie algebras. Root diagrams.- D z -function regularization.- E K-theory and index bundles.- F Determinant line bundles.- G Eilenberg-MacLane spaces.- References. Index.

Basic Algebraic Topology and its Applications

Автор: Adhikari
Название: Basic Algebraic Topology and its Applications
ISBN: 8132228413 ISBN-13(EAN): 9788132228417
Издательство: Springer
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Цена: 74530.00 T
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Описание:

This book provides an accessible introduction to algebraic topology, a ?eld at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book o?ers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike.
Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.

Higher dimensional categories: from double to multiple categories

Автор: Grandis, Marco (univ Di Genova, Italy)
Название: Higher dimensional categories: from double to multiple categories
ISBN: 9811205108 ISBN-13(EAN): 9789811205101
Издательство: World Scientific Publishing
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Цена: 190080.00 T
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Описание:

The study of higher dimensional categories has mostly been developed in the globular form of 2-categories, n-categories, omega-categories and their weak versions. Here we study a different form: double categories, n-tuple categories and multiple categories, with their weak and lax versions.

We want to show the advantages of this form for the theory of adjunctions and limits. Furthermore, this form is much simpler in higher dimension, starting with dimension three where weak 3-categories (also called tricategories) are already quite complicated, much more than weak or lax triple categories.

This book can be used as a textbook for graduate and postgraduate studies, and as a basis for research. Notions are presented in a 'concrete' way, with examples and exercises; the latter are endowed with a solution or hints. Part I, devoted to double categories, starts at basic category theory and is kept at a relatively simple level. Part II, on multiple categories, can be used independently by a reader acquainted with 2-dimensional categories.


Foundations of Stable Homotopy Theory

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.

Computational Topology in Image Context

Автор: Bac
Название: Computational Topology in Image Context
ISBN: 3319394401 ISBN-13(EAN): 9783319394404
Издательство: Springer
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Цена: 52170.00 T
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Описание: The die is cast when the malefic King Ajutu realizes that he has been betrayed thrice over on Nkem`s account. With Nkem, Odera, and Namdi deeming they are no longer within easy striking distance of the king, the king charges his goons with the task of silencing them for good. When Nkem, Odera, and Namdi come to terms with what they`re up against, they form a frantic alliance with the king`s twin, Prince Ikuku, and unwittingly the estranged Queen Nena. As they also enlist the help of the Children of the Shadows, will King Ajutu, along with his gentry, become too hot to handle, or will he and his camarilla meet more than their match in the ever-growing alliance? In Children of the Shadows: Firmness of Purpose, the fight for justice and peace, and for the innocent child victims of the supposedly banned Mkpataku ritual reaches boiling point.

Homotopy of Operads and Grothendieck-Teichmuller Groups: Part 1: The Algebraic Theory and its Topological Background

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
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.


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