Introduction to Homotopy Theory
- ISBN-10
- 144197329X
- ISBN-13
- 9781441973290
- Category
- Mathematics
- Pages
- 344
- Language
- English
- Published
- 2011-07-25
- Publisher
- Springer Science & Business Media
- Author
- Martin Arkowitz
Description
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.
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