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Homotopical topology

Author: A T Fomenko; D B Fuks
Publisher: Switzerland : Springer International Publishing, [2016] ©2016
Series: Graduate texts in mathematics, 273.
Edition/Format:   Print book : English : Second editionView all editions and formats
Summary:
"This classic text of the renowned Moscow mathematical school equips the aspiring mathematician with a solid grounding in the core of topology, from a homotopical perspective. Its comprehensiveness and depth of treatment are unmatched among topology textbooks: in addition to covering the basics--the fundamental notions and constructions of homotopy theory, covering spaces and the fundamental group, CW complexes,  Read more...
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Document Type: Book
All Authors / Contributors: A T Fomenko; D B Fuks
ISBN: 9783319234878 3319234870
OCLC Number: 953609277
Notes: "© Moscow University Press 1969 (first edition in Russian); © Akadémiai Kiadó 1989 (first edition in English)"--Title page verso.
Description: xi, 627 pages : illustrations ; 24 cm.
Contents: Introduction: The Most Important Topological Spaces --
Homotopy --
Homology --
Spectral Sequences of Fibrations --
Cohomology Operations --
The Adams Spectral Sequence --
K-Theory and Other Extraordinary Cohomology Theories.
Series Title: Graduate texts in mathematics, 273.
Other Titles: Gomotopicheskai︠a︡ topologii︠a︡.
Responsibility: Anatoly Fomenko, Dmitry Fuchs.

Abstract:

This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. a deeper and broader treatment of topics in comparison to most beginning books on  Read more...

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"This book is a treasure trove for every mathematician who has to deal with classical algebraic topology and homotopy theory on the research level. ... Its style is refreshing and informative, and Read more...

 
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