Hidden Bibliographic Details
| Other authors / contributors: | Munkholm, Hans J. (Hans Jørgen), 1940-
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| ISBN: | 9783540392491
3540392491
0387193979
9780387193977
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| Notes: | Includes bibliographical references (pages 301-304) and index.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212
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Print version record.
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| Summary: | Several recent investigations have focused attention on spaces and manifolds which are non-compact but where the problems studied have some kind of "control near infinity". This monograph introduces the category of spaces that are "boundedly controlled" over the (usually non-compact) metric space Z. It sets out to develop the algebraic and geometric tools needed to formulate and to prove boundedly controlled analogues of many of the standard results of algebraic topology and simple homotopy theory. One of the themes of the book is to show that in many cases the proof of a standard result can be easily adapted to prove the boundedly controlled analogue and to provide the details, often omitted in other treatments, of this adaptation. For this reason, the book does not require of the reader an extensive background. In the last chapter it is shown that special cases of the boundedly controlled Whitehead group are strongly related to lower K-theoretic groups, and the boundedly controlled theory is compared to Siebenmann's proper simple homotopy theory when Z = IR or IR2.
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| Other form: | Print version: Anderson, Douglas R. (Douglas Ross), 1940- Boundedly controlled topology. Berlin ; New York : Springer-Verlag, ©1988 0387193979
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