Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory
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The work Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory
Resource Information
The work Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory
 Title remainder
 foundations of algebraic topology and simple homotopy theory
 Statement of responsibility
 Douglas R. Anderson, Hans J. Munkholm
 Subject

 Categories (Mathematics)
 Categories (Mathematics)
 Categories (Mathematics)
 Catégories (Mathématiques)
 Complexes
 Complexes
 Complexes
 Complexes (Mathématiques)
 Einfache Homotopietheorie
 Homotopy theory
 Homotopy theory
 Homotopy theory
 Kategorientheorie
 Piecewise linear topology
 Piecewise linear topology
 Piecewise linear topology
 Algebraische Topologie
 Language
 eng
 Summary
 Several recent investigations have focused attention on spaces and manifolds which are noncompact 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 noncompact) 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 Ktheoretic groups, and the boundedly controlled theory is compared to Siebenmann's proper simple homotopy theory when Z = IR or IR2
 Action
 digitized
 Cataloging source
 SPLNM
 Dewey number

 510 s
 514/.22
 Index
 index present
 LC call number

 QA3
 QA613.4
 LC item number
 .L28 no. 1323
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Lecture notes in mathematics,
 Series volume
 1323
Context
Context of Boundedly controlled topology : foundations of algebraic topology and simple homotopy theoryWork of
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