TITLE

# Homotopy Characterization of ANR Function Spaces

AUTHOR(S)
Smrekar, Jaka
PUB. DATE
January 2013
SOURCE
Journal of Function Spaces & Applications;2013, p1
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
Let Y be an absolute neighbourhood retract (ANR) for the class of metric spaces and let X be a topological space. Let YX denote the space of continuous maps from X to Y equipped with the compact open topology. We show that if X is a compactly generated Tychonoff space and Y is not discrete, then YX is an ANR for metric spaces if and only if X is hemicompact and YX has the homotopy type of a CW complex.
ACCESSION #
94626672

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