Some topological properties weaker than Lindelöfness

Authors

  • Yan-Kui Song Department of Mathematics, Nanjing Normal University, Nanjing, 210097 P.R. China Author

Keywords:

Lindelöf space, C-Lindelöf space, weakly C-Lindelöf space

Subjects:

54D15, 54D20

Abstract

A space X is C-Lindel{ö}f (weakly C-Lindel{ö}f) if for everyclosed subset F of X and every open cover U of F byopen subsets of X, there exists a countable subfamily V ofU such that F{V:Vın\calV} (respectively, FV). In thispaper, we investigate the relationships among C-Lindel{ö}fspaces, weakly C-Lindel{ö}f spaces and Lindel{ö}f spaces, andalso study various properties of weakly C-Lindel{ö}f spaces and C-Lindel{ö}f spaces.

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Published

2008-07-15