On star-C-menger spaces

  • Yan-Kui Song
  • Zheng Yin

Abstract

A space X is star-C-Menger if for each sequence (Un : n ∈ N) of open covers of X there exists a sequence (Ksub>n : n ∈ N) of countably compact subsets of X such that {St(Kn; Un) : n ∈ N} is an open cover of X. In this paper, we investigate the relationship between star-C-Menger spaces and related spaces, and study topological properties of star-<C-Menger spaces.

Keywords: Selection principles, star-Menger, star-K-Menger, star-C-Menger, star-L-Menger, starcompact, star-Lindelof, starcompact, star-L-Lindelof.

Quaestiones Mathematicae 37(2014), 337-347.

Author Biographies

Yan-Kui Song
Institute of Mathematics, School of Mathematical Science, Nanjing Normal University, Nanjing 210023, P.R. China
Zheng Yin
School of Mathematical Science, Nanjing Normal University, Nanjing 210046, P.R. China.
Published
2015-04-02
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606