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.
- ISBN:
- 9781441973283
- 9781441973283
-
Category:
- Algebraic topology
- Format:
- Paperback
- Publication Date:
-
25-07-2011
- Language:
- English
- Publisher:
- Springer-Verlag New York Inc.
- Country of origin:
- United States
- Pages:
- 344
- Dimensions (mm):
- 235x155x18mm
- Weight:
- 0.55kg
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