LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	514.2
Title	Boundedly Controlled Topology ([EBook] :) : Foundations of Algebraic Topology and Simple Homotopy Theory / / by Douglas R. Anderson, Hans J. Munkholm.
Author	Anderson, Douglas R.
Added Personal Name	Munkholm, Hans J. author.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1988.
Physical Details	XIV, 310 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1323
ISBN	9783540392491
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0079806
Links to Related Works	Subject References: Algebraic Topology . Mathematics . Authors: Anderson, Douglas R. . Munkholm, Hans J. . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 514.2 .

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Boundedly Controlled Topology: Foundations of Algebraic Topology and Simple Homotopy Theory /

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