Homotopical Topology
Title | Homotopical Topology PDF eBook |
Author | Anatoly Fomenko |
Publisher | Springer |
Pages | 635 |
Release | 2016-06-24 |
Genre | Mathematics |
ISBN | 3319234889 |
This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand. The first English translation, done many decades ago, remains very much in demand, although it has been long out-of-print and is difficult to obtain. Therefore, this updated English edition will be much welcomed by the mathematical community. Distinctive features of this book include: a concise but fully rigorous presentation, supplemented by a plethora of illustrations of a high technical and artistic caliber; a huge number of nontrivial examples and computations done in detail; a deeper and broader treatment of topics in comparison to most beginning books on algebraic topology; an extensive, and very concrete, treatment of the machinery of spectral sequences. The second edition contains an entirely new chapter on K-theory and the Riemann-Roch theorem (after Hirzebruch and Grothendieck).
Homotopic Topology
Title | Homotopic Topology PDF eBook |
Author | Anatolij T. Fomenko |
Publisher | |
Pages | 310 |
Release | 1986 |
Genre | |
ISBN | 9780569089982 |
Homotopy Type Theory: Univalent Foundations of Mathematics
Title | Homotopy Type Theory: Univalent Foundations of Mathematics PDF eBook |
Author | |
Publisher | Univalent Foundations |
Pages | 484 |
Release | |
Genre | |
ISBN |
Homotopic Topology
Title | Homotopic Topology PDF eBook |
Author | D. B. Fuks |
Publisher | |
Pages | 320 |
Release | 1986 |
Genre | Mathematics |
ISBN |
Algebraic Topology from a Homotopical Viewpoint
Title | Algebraic Topology from a Homotopical Viewpoint PDF eBook |
Author | Marcelo Aguilar |
Publisher | Springer Science & Business Media |
Pages | 499 |
Release | 2008-02-02 |
Genre | Mathematics |
ISBN | 0387224890 |
The authors present introductory material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This carefully written book can be read by any student who knows some topology, providing a useful method to quickly learn this novel homotopy-theoretic point of view of algebraic topology.
Introduction to Homotopy Theory
Title | Introduction to Homotopy Theory PDF eBook |
Author | Martin Arkowitz |
Publisher | Springer Science & Business Media |
Pages | 352 |
Release | 2011-07-25 |
Genre | Mathematics |
ISBN | 144197329X |
This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows: Basic Homotopy; H-spaces and co-H-spaces; fibrations and cofibrations; exact sequences of homotopy sets, actions, and coactions; homotopy pushouts and pullbacks; classical theorems, including those of Serre, Hurewicz, Blakers-Massey, and Whitehead; homotopy Sets; homotopy and homology decompositions of spaces and maps; and obstruction theory. The underlying theme of the entire book is the Eckmann-Hilton duality theory. The book can be used as a text for the second semester of an advanced ungraduate or graduate algebraic topology course.
General Topology
Title | General Topology PDF eBook |
Author | Stephen Willard |
Publisher | Courier Corporation |
Pages | 384 |
Release | 2004-01-01 |
Genre | Mathematics |
ISBN | 9780486434797 |
Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes historical notes and over 340 detailed exercises. 1970 edition. Includes 27 figures.