Introduction to Homotopy Theory

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 pu...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Arkowitz, Martin (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Springer, 2011.
Edition:1st ed. 2011.
Series:Universitext,
Subjects:
Algebraic topology.
Algebraic Topology.
Online Access:Texto Completo
Table of Contents:
  • 1 Basic Homotopy
  • 2 H-Spaces and Co-H-Spaces
  • 3 Cofibrations and Fibrations
  • 4 Exact Sequences
  • 5 Applications of Exactness
  • 6 Homotopy Pushouts and Pullbacks
  • 7 Homotopy and Homology Decompositions
  • 8 Homotopy Sets
  • 9 Obstruction Theory
  • A Point-Set Topology
  • B The Fundamental Group
  • C Homology and Cohomology
  • D Homotopy Groups and the n-Sphere
  • E Homotopy Pushouts and Pullbacks
  • F Categories and Functors
  • Hints to Some of the Exercises
  • References
  • Index.-.

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