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
Resource Information
The item Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory, Douglas R. Anderson, Hans J. Munkholm represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory, Douglas R. Anderson, Hans J. Munkholm represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 1 online resource (xii, 309 pages).
 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 sCobordism Theorem
 Toward Computations
 Bibliography
 Index
 Isbn
 9783540392491
 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
 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
 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
 Bibliography note
 Includes bibliographical references (pages 301304) 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 sCobordism 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
 Bibliography note
 Includes bibliographical references (pages 301304) 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 sCobordism 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.
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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Boundedlycontrolledtopologyfoundationsof/NzdDpk98Bo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Boundedlycontrolledtopologyfoundationsof/NzdDpk98Bo/">Boundedly controlled topology : foundations of algebraic topology and simple homotopy theory, Douglas R. Anderson, Hans J. Munkholm</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>