Abstract
We prove that a σ-compact metric space having the compact extension property is an AR. This solves the problem ANR 13 of West's list [5].
Citation
Robert Cauty. "Propriété d'extension pour les compacts et rétractes absolus." Tsukuba J. Math. 37 (1) 73 - 84, July 2013. https://doi.org/10.21099/tkbjm/1373893406
Information
Published: July 2013
First available in Project Euclid: 15 July 2013
zbMATH: 1272.54018
MathSciNet: MR3112419
Digital Object Identifier: 10.21099/tkbjm/1373893406
Subjects:
Primary:
54C55
Keywords:
ANR
,
compact extension property
Rights: Copyright © 2013 University of Tsukuba, Institute of Mathematics