Remarks on Star-Hurewicz Spaces

• Autorzy: Yan-Kui Song
• Języki publikacji: EN

Abstrakty

EN

A space X is star-Hurewicz if for each sequence (𝒰ₙ: n ∈ ℕ) of open covers of X there exists a sequence (𝓥ₙ: n ∈ ℕ) such that for each n, 𝓥ₙ is a finite subset of 𝒰ₙ, and for each x ∈ X, x ∈ St(⋃ 𝓥ₙ,𝒰ₙ) for all but finitely many n. We investigate the relationship between star-Hurewicz spaces and related spaces, and also study topological properties of star-Hurewicz spaces.

Kategorie tematyczne

• 54B10: Product spaces
• 54D20: Noncompact covering properties (paracompact, Lindel\"of, etc.)
• 54B05: Subspaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2013
• Tom: 61
• Numer: 3
• Strony: 247-255

Daty

wydano

2013

Twórcy

autor

Yan-Kui Song

• Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, P.R. China

Identyfikatory

DOI

10.4064/ba61-3-6