Coverart for item
The Resource Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory, Douglas R. Anderson, Hans J. Munkholm

Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory, Douglas R. Anderson, Hans J. Munkholm

Label
Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory
Title
Boundedly controlled topology
Title remainder
foundations of algebraic topology and simple homotopy theory
Statement of responsibility
Douglas R. Anderson, Hans J. Munkholm
Creator
Contributor
Subject
Language
eng
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
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1940-
http://library.link/vocab/creatorName
Anderson, Douglas R.
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
http://library.link/vocab/relatedWorkOrContributorDate
1940-
http://library.link/vocab/relatedWorkOrContributorName
Munkholm, Hans J.
Series statement
Lecture notes in mathematics,
Series volume
1323
http://library.link/vocab/subjectName
  • Piecewise linear topology
  • Homotopy theory
  • Complexes
  • Categories (Mathematics)
  • Complexes (Mathématiques)
  • Catégories (Mathématiques)
  • Categories (Mathematics)
  • Complexes
  • Homotopy theory
  • Piecewise linear topology
  • Algebraische Topologie
  • Einfache Homotopietheorie
  • Kategorientheorie
Label
Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory, Douglas R. Anderson, Hans J. Munkholm
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 301-304) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Category Theoretic Foundations -- The Algebraic Topology of Boundedly Controlled Spaces -- The Geometric Boundedly Controlled Whitehead Group -- Free and Projective RPG Modules. The Algebraic Whitehead Groups of RPG -- The Isomorphism between the Geometric and Algebraic Whitehead Groups -- Boundedly Controlled Manifolds and the s-Cobordism Theorem -- Toward Computations -- Bibliography -- Index
Control code
277187029
Dimensions
unknown
Extent
1 online resource (xii, 309 pages).
Form of item
online
Isbn
9783540392491
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)277187029
System details
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.
Label
Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory, Douglas R. Anderson, Hans J. Munkholm
Publication
Bibliography note
Includes bibliographical references (pages 301-304) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Category Theoretic Foundations -- The Algebraic Topology of Boundedly Controlled Spaces -- The Geometric Boundedly Controlled Whitehead Group -- Free and Projective RPG Modules. The Algebraic Whitehead Groups of RPG -- The Isomorphism between the Geometric and Algebraic Whitehead Groups -- Boundedly Controlled Manifolds and the s-Cobordism Theorem -- Toward Computations -- Bibliography -- Index
Control code
277187029
Dimensions
unknown
Extent
1 online resource (xii, 309 pages).
Form of item
online
Isbn
9783540392491
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)277187029
System details
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.

Library Locations

    • Ellis LibraryBorrow it
      1020 Lowry Street, Columbia, MO, 65201, US
      38.944491 -92.326012
Processing Feedback ...