Algebraic Topology from a Homotopical Viewpoint (Hardcover, 2002 ed.)

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 text, no knowledge about category theory is expected from the reader. This book is intended for advanced undergraduates and graduate students with a basic knowledge of point set topology as well as group theory and can be used in a two semester course. Marcelo Aguilar and Carlos Prieto are Professors at the Instituto de Matemticas, Universidad Nacional Autonoma de Mexico, and Samuel Gitler is a member of El Colegio Nacional and professor at the Centro de Investigacion y Estudios Avanzados del IPN.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Universitext
Release date:	June 2002
First published:	2002
Authors:	Marcelo Aguilar
Translators:	S.B. Sontz
Authors:	Samuel Gitler • Carlos Prieto
Dimensions:	235 x 155 x 33mm (L x W x T)
Format:	Hardcover
Pages:	479
Edition:	2002 ed.
ISBN-13:	978-0-387-95450-9
Categories:	Books > Science & Mathematics > Mathematics > Topology > General Promotions
LSN:	0-387-95450-3
Barcode:	9780387954509

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