Selection principles and upper semicontinuous functions

• Autorzy: Masami Sakai
• Języki publikacji: EN

Abstrakty

EN

In connection with a conjecture of Scheepers, Bukovský introduced properties wQN* and SSP* and asked whether wQN* implies SSP*. We prove it in this paper. We also give characterizations of properties S₁(Γ,Ω) and $S_{fin}(Γ,Ω)$ in terms of upper semicontinuous functions

Kategorie tematyczne

• 54C35: Function spaces
• 54A20: Convergence in general topology (sequences, filters, limits, convergence spaces, etc.)
• 54D20: Noncompact covering properties (paracompact, Lindel\"of, etc.)
• 54C30: Real-valued functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 117
• Numer: 2
• Strony: 251-256

Daty

wydano

2009

Twórcy

autor

Masami Sakai

• Department of Mathematics, Kanagawa University, Yokohama 221-8686, Japan

Identyfikatory

DOI

10.4064/cm117-2-7