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finally α-compact

Last-modified: 2010-12-02 (木) 22:23:26

Definition Edit

α is a variable for a cardinality.
Every open cover has a subcover with cardinality at most α.

Remark Edit

  • Such a space is also called [α,∞]-compact?.
  • In particular, when α=ω, it is simply called finally compact or Lindelöf.

Reference Edit

Manuel Sanchis, Angel Tamariz-Mascarua, p-pseudocompactness and related topics in topological spaces, Topology and its Applications 98 (1999) 323-343.