Algebraic Topology from a Homotopical Viewpoint
Contributors: S.B. Sontz (Translator)
Publisher: Springer
Published: June 13, 2002
Language: eng
Number of pages: 512
ISBN-13: 9780387954509
First sentence: Function spaces will be the foundation of many of the constructions that will be made in this text.
Description: "The purpose of this book is to introduce algebraic topology using the novel approach of homotopy theory, an approach with clear applications in algebraic geometry as understood by Lawson and Voevodsky. This method allows the authors to cover the material more efficiently than the more common method using homological algebra. The basic concepts of homotopy theory, such as fibrations and cofibrations, are used to construct singular homology and cohomology, as well as K-theory.

Throughout the text many other fundamental concepts are introduced, including the construction of the characteristic classes of vector bundles. Although functors appear constantly throughout the book, no previous knowledge about category theory is expected from the reader. This book is intended for advanced undergraduate and graduate students with a basic background in point set topology as well as group theory and can be used in a two-semester course."--BOOK JACKET.