Homotopical Topology

• Main Authors: Fomenko, Anatoly (Author), Fuchs, Dmitry (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Edition: 2nd ed. 2016.
• Series: Graduate Texts in Mathematics, 273
• Subjects: Mathematics.; Category theory (Mathematics).; Homological algebra.; K-theory.; Algebraic topology.; Category Theory, Homological Algebra.; K-Theory.; Algebraic Topology.

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 f...

Table of Contents:

• Introduction
• Homotopy
• Homology
• Spectral Sequences of Fibrations
• Cohomology Operations
• The Adams Spectral Sequence
• K-Theory and Other Extraordinary Cohomology Theories.