Characterizations of Some Classes of Perfect Spaces in Terms of Continuous Selections Avoiding Supporting Sets

• Autorzy: Takamitsu Yamauchi
• 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.

Kategorie tematyczne

• 54C60: Set-valued maps
• 54C65: Selections
• 54D15: Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2008
• Tom: 56
• Numer: 2
• Strony: 149-161

Daty

wydano

2008

Twórcy

autor

Takamitsu Yamauchi

• Department of Mathematics, Shimane University, Matsue, 690-8504, Japan
• Department of General Education, Kure College of Technology, Kure, 737-8506, Japan

Identyfikatory

DOI

10.4064/ba56-2-6