Characterizations of some classes of perfect spaces in terms of continuous selections avoiding supporting sets

• Autorzy: Yamauchi T.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

set-valued mapping; selection; supporting set; perfectly normal

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2008
• Tom: Vol. 56, no 2
• Strony: 149--161
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Yamauchi T.

• Department of Mathematics, Shimane University, Matsue, 690-8504, Japan,

Bibliografia

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