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countably almost-compact

Last-modified: 2010-12-02 (木) 22:02:11

Definition Edit

Let E be a family of open sets and let F denote the family of the closures of all elements in E. A topological space is called almost compact if F has a nonempty intersection whenever E has cip.

Property Edit

Remark Edit

  • It is called H-closed in the terminology of M. Kateiov.

Reference Edit

Zdenek Frolik, A generalization of realcompact spaces, Czechoslovak Mathematical Journal, Vol.13 (1963), No.1, 127-138.