Author : Martin Arkowitz
Release : 2011-07-25
Genre : Mathematics
Kind : eBook
Book Rating : 29X/5 ( reviews)
Book Synopsis Introduction to Homotopy Theory by : Martin Arkowitz
Download or read book Introduction to Homotopy Theory written by Martin Arkowitz. This book was released on 2011-07-25. Available in PDF, EPUB and Kindle. Book excerpt: 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.