Title of article
An alternative proof of Cauty–Geogheganʹs characterization of ANRs
Author/Authors
Sakai، نويسنده , , Katsuro، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2002
Pages
8
From page
407
To page
414
Abstract
In 1994, R. Cauty proved Geogheganʹs conjecture on ANRs that a metrizable space X is an ANR if and only if every open set in X has the homotopy type of a CW-complex. In this note, by using the mapping cylinder technique, we provide an alternative short proof of this characterization of ANRs.
Keywords
The mapping cylinder , ANR , CW-complex , The homotopy type
Journal title
Topology and its Applications
Serial Year
2002
Journal title
Topology and its Applications
Record number
1576509
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