Geodesic
Characterizations of Some Classes of Perfect Spaces in Terms of Continuous Selections Avoiding Supporting Sets
Takamitsu Yamauchi1
1 Department of Mathematics Shimane University Matsue, 690-8504, Japan and Department of General Education Kure College of Technology Kure, 737-8506, Japan
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 56 (2008) no. 2, pp. 149-161

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ba56-2-6
Keywords: kinds perfect spaces including paracompact perfectly normal spaces collectionwise normal perfect spaces characterized terms continuous selections avoiding supporting sets necessary sufficient condition domain space selection theorem michael fund math obtained

Takamitsu Yamauchi 1

1 Department of Mathematics Shimane University Matsue, 690-8504, Japan and Department of General Education Kure College of Technology Kure, 737-8506, Japan 
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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) no. 2, pp. 149-161. doi: 10.4064/ba56-2-6

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