Characterizations of Some Classes of Perfect Spaces in Terms of Continuous Selections Avoiding Supporting Sets
Takamitsu Yamauchi
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008), p. 149-161 / Harvested from The Polish Digital Mathematics Library
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Some kinds of perfect spaces, including paracompact perfectly normal spaces and collectionwise normal perfect spaces, are characterized in terms of continuous selections avoiding supporting sets. A necessary and sufficient condition on a domain space for a selection theorem of E. Michael [Fund. Math. 47 (1959), 173-178] to hold is also obtained.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:281266 
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Takamitsu Yamauchi. Characterizations of Some Classes of Perfect Spaces in Terms of Continuous Selections Avoiding Supporting Sets. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008) pp. 149-161. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba56-2-6/