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Algebraic topology, Spanier, Edwin H


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Автор: Spanier, Edwin H
Название:  Algebraic topology
Перевод названия: Алгебраическая топология
ISBN: 9780387944265
Издательство: Springer
Классификация:

ISBN-10: 0387944265
Обложка/Формат: paperback
Страницы: 548
Вес: 0.77 кг.
Дата издания: 1981
Язык: English
Издание: 1st ed. 1981. corr.
Иллюстрации: Xiv, 548 p.
Размер: 157 x 233 x 29
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of the book is devoted to Homotropy theory, covering basic facts about homotropy groups, applications to obstruction theory, and computations of homotropy groups of spheres. In the later parts, the main emphasis is on the application to geometry of the algebraic tools developed earlier.


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: 11179.00 р.
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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.
Algebraic Topology

Автор: Nils Baas; Eric Friedlander; Bj?rn Jahren; Paul Ar
Название: Algebraic Topology
ISBN: 3642011993 ISBN-13(EAN): 9783642011993
Издательство: Springer
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Цена: 23058.00 р.
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Описание: The 2007 Abel Symposium took place at the University of Oslo in August 2007. The goal of the symposium was to bring together mathematicians whose research efforts have led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology, and mathematical physics.

Algebraic Topology

Автор: Nils Baas; Eric Friedlander; Bj?rn Jahren; Paul Ar
Название: Algebraic Topology
ISBN: 3642260683 ISBN-13(EAN): 9783642260681
Издательство: Springer
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Цена: 23058.00 р.
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Описание: The 2007 Abel Symposium brought together mathematicians whose research has led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology and mathematical physics. This book offers the highlights of that symposium.

More Concise Algebraic Topology

Автор: May J. Peter
Название: More Concise Algebraic Topology
ISBN: 0226511782 ISBN-13(EAN): 9780226511788
Издательство: Wiley
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Цена: 10296.00 р.
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Описание: With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. This title addresses the course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. It covers topics that are useful for algebraic topologists.

Foundations of Algebraic Topology

Автор: Eilenberg Samuel, Steenrod Norman
Название: Foundations of Algebraic Topology
ISBN: 0691627231 ISBN-13(EAN): 9780691627236
Издательство: Wiley
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Цена: 9187.00 р.
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Описание:

The need for an axiomatic treatment of homology and cohomology theory has long been felt by topologists. Professors Eilenberg and Steenrod present here for the first time an axiomatization of the complete transition from topology to algebra.

Originally published in 1952.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.


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