Introduction to Homotopy Theory. Martin Arkowitz
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Author: Martin Arkowitz
Page Count: 357 pages
Published Date: 25 Jul 2011
Publisher: Springer-Verlag New York Inc.
Publication Country: New York, NY, United States
Language: English
ISBN: 9781441973283
File size: 21 Mb
Download Link: Introduction to Homotopy Theory
---------------------------------------------------------------
Author: Martin Arkowitz
Page Count: 357 pages
Published Date: 25 Jul 2011
Publisher: Springer-Verlag New York Inc.
Publication Country: New York, NY, United States
Language: English
ISBN: 9781441973283
File size: 21 Mb
Download Link: Introduction to Homotopy Theory
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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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