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29 March 2024
 
  » arxiv » math.AT/0502064

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On C.T.C. Wall's suspension theorem
Mokhtar Aouina ; John R. Klein ;
Date 3 Feb 2005
Subject Algebraic Topology; Geometric Topology MSC-class: 55R19; 55N65 | math.AT math.GT
AbstractAlmost forty years ago, C.T.C. Wall systematically analyzed the set of "thickenings" of a finite CW complex. Of the results he obtained, probably the most computationally important is the "suspension theorem," which is an exact sequence relating the n-dimensional thickenings of a finite complex to its (n+1)-dimensional ones. The object of this note is to fill in what we believe is a missing argument in the proof of that theorem.
Source arXiv, math.AT/0502064
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