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Infinite Homotopy Theory (Hardcover)

Author: Baues, Hans J.

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This book deals with algebraic topology, homotopy theory and simple homotopy theory of infinite CW-complexes with ends. Contrary to most other works on these subjects, the current volume does not use inverse systems to treat these topics. Here, the homotopy theory is approached without the rather sophisticated notion of pro-category. Spaces with ends are studied only by using appropriate constructions such as spherical objects of CW-complexes in the category of spaces with ends, and all arguments refer directly to this category. In this way, infinite homotopy theory is presented as a natural extension of classical homotopy theory. In particular, this book introduces the construction of the proper groupoid of a space with ends and then the cohomology with local coefficients is defined by the enveloping ringoid of the proper fundamental groupoid. This volume will be of interest to researchers whose work involves algebraic topology, category theory, homological algebra, general topology, manifolds, and cell complexes. *Author: Baues, Hans J./ Baues, H-J/ Quintero, A. *Series Title: K-Monographs in Mathematics *Series Number: 6 *Binding Type: Hardcover *Number of Pages: 304 *Publication Date: 2001/06/30 *Language: English *Dimensions: 6.14 x 9.21 x 0.81 inches


Publisher Springer Verlag
Mfg Part# 9780792369820
SKU 202950357
Format Hardcover
ISBN10 0792369823
Release Date 4/10/2007
Product Attributes
Book Format Hardcover
Number of Pages 0304
Publisher Springer
Series Part 6
$161.38 + $2.75 shipping
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