Authors:
- Updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand
- Presents material concisely but rigorously
- Illuminates the subject matter with a range of technical and artistic illustrations, along with a wealth of examples and computations meant to provide a treatment of the topic that is both deep and broad
- Contains an entirely new chapter on K-theory and the Riemann-Roch theorem
- Includes supplementary material: sn.pub/extras
Part of the book series: Graduate Texts in Mathematics (GTM, volume 273)
Buy it now
Buying options
Tax calculation will be finalised at checkout
Other ways to access
This is a preview of subscription content, log in via an institution to check for access.
Table of contents (6 chapters)
-
Front Matter
-
Back Matter
About this book
Reviews
“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 the reader can feel the authors’ joy at sharing their insight into algebraic topology. … will be a useful addition to any mathematical bookshelf.” (Thomas Hüttemann, Mathematical Reviews, March, 2017)
“This book covers all the basic material necessary for complete understanding of the fundamentals of algebraic topology … . This increase in the number of topics has made the book more convenient for serious students not only to extend their knowledge but also to gain insight into the interplay between these three subjects. … This book is designed to help students to select the level of learning subjects they want to reach … .” (Haruo Minami, zbMATH 1346.55001, 2016)
Authors and Affiliations
-
Dept of Math & Mechanics, Moscow State University, Moscow, Russia
Anatoly Fomenko
-
Department of Mathematics, University of California, Davis, USA
Dmitry Fuchs
About the authors
Dmitry Borisovich Fuchs is Professor Emeritus of Mathematics at the University of California, Davis. He earned his C.Sc. from Moscow State University, and his D.Sc. at Tblisi State University. His research interests include topology and the theory of foliations, homological algebra, and representation theory. His main body of work deals with representations and cohomology of infinite-dimensional Lie algebras. This work has consequences in string theory and conformal quantum field theory as codified in the mathematical theory of vertex operator algebras. He is the author of over 25 articles, and has served as thesis advisor to several well-known mathematicians, including Boris Feigin, Fedor Malikov, and Vladimir Rokhlin.
Bibliographic Information
Book Title: Homotopical Topology
Authors: Anatoly Fomenko, Dmitry Fuchs
Series Title: Graduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-3-319-23488-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-23487-8Published: 05 July 2016
Softcover ISBN: 978-3-319-79490-7Published: 30 May 2018
eBook ISBN: 978-3-319-23488-5Published: 24 June 2016
Series ISSN: 0072-5285
Series E-ISSN: 2197-5612
Edition Number: 2
Number of Pages: XI, 627
Number of Illustrations: 210 b/w illustrations
Topics: Category Theory, Homological Algebra, K-Theory, Algebraic Topology