Introduction to Homotopy Theory (Fields Institute Monographs, 9) - Paul S. Selick, Paul Selick (1997)
ISBN 0821806904
Subject Homotopy theory
Publisher American Mathematical Society
Publication Date July 1997
Format Hardcover (259 x 183 mm)
Language e
This text is based on a one-semester graduate course taught by the author at The Fields Institute in fall 1995 as part of the homotopy theory program which constituted the Institute's major program that year. The intent of the course was to bring graduate students who had completed a first course in algebraic topology to the point where they could understand research lectures in homotopy theory and to prepare them for the other, more specialized graduate courses being held in conjunction with the program. The notes are divided into two parts: prerequisites and the course proper.

Part I, the prerequisites, contains a review of material often taught in a first course in algebraic topology. It should provide a useful summary for students and non-specialists who are interested in learning the basics of algebraic topology. Included are some basic category theory, point set topology, the fundamental group, homological algebra, singular and cellular homology, and Poincaré duality.

Part II covers fibrations and cofibrations, Hurewicz and cellular approximation theorems, topics in classical homotopy theory, simplicial sets, fiber bundles, Hopf algebras, spectral sequences, localization, generalized homology, and cohomology operations.

Personal Details
Collection Status In Collection
Index 183
Read It Yes
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Product Details
LoC Classification QA612.7.S44 1997
Dewey 514/.24
Cover Price $54.00
No. of Pages 188