Compacta with shapes of finite complexes: a direct approach to the Edwards-Geoghegan-Wall obstruction

2015/09/03 by Craig R. Guilbault, Guilbault, Craig R.
Mathematics · #19J05 #55Q07 #57N25 #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:19J05 #msc:55Q07 #msc:57N25

paper · pdf · doi:10.48550/arxiv.1509.00921

Submitted to the proceedings of "Topological Methods in Group Theory: A conference in honor of Ross Geoghegan's 70th birthday"; 15 pages, 1 figure

arxiv created 2015/09/03 · openalex publication_date 2015/09/03 · arxiv updated 2015/09/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

An important "stability" theorem in shape theory, due to D.A. Edwards and R. Geoghegan, characterizes those compacta having the same shape as a finite CW complex. In this note we present straightforward and self-contained proof of that theorem.

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