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Introduction to Homotopy Theory by Martin Arkowitz
Introduction to Homotopy Theory by Martin Arkowitz
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Introduction to Homotopy Theory

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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. It is assumed that the reader has had some exposure to the rudiments of homology theory and fundamental group theory. These topics are discussed in the appendices. The book can be used as a text for the second semester of an advanced ungraduate or graduate algebraic topology course.

Author Biography:

Martin Arkowitz is currently a professor of mathematics at Dartmouth College. He received his Ph.D. in mathematics at Cornell University. His area of expertise is algebraic topology.
Release date NZ
July 25th, 2011
Audience
  • Professional & Vocational
Illustrations
333 Illustrations, black and white; XIII, 344 p. 333 illus.
Pages
344
Dimensions
156x234x18
ISBN-13
9781441973283
Product ID
8176295

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