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On C.T.C. Wall's suspension theorem

2005/02/03 by Mokhtar Aouina, Aouina, Mokhtar, John R. Klein +1
Engineering · Mathematics · #55N65 #55R19 #Advanced Materials and Mechanics #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Mathematics and Applications #Structural Analysis and Optimization #math.AT #math.GT #msc:55N65 #msc:55R19

paper · pdf · doi:10.48550/arxiv.math/0502064

arxiv created 2005/02/03 · openalex publication_date 2005/02/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Almost 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.

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