Introduction to Homotopy Theory

ISBN
9781441973283
$79.99
Author Arkowitz, Martin
Format Paperback
Details
  • Active Record
  • Individual Title
  • 1 vol.
  • 2011
  • xiii, 344
  • Yes
  • 0
  • QA1-939
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.