Boundedly Controlled Topology Foundations of Algebraic Topology and Simple Homotopy Theory

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-comp...

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Bibliographic Details
Main Authors: Anderson, Douglas R., Munkholm, Hans J. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1988, 1988
Edition:1st ed. 1988
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of 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