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subparacompact

Last-modified: 2010-07-25 (日) 21:24:05

Definition Edit

A topological space is called subparacompact if every open cover of X has a σ-discrete closed refinement.

Property Edit

  • Every metacompact space in which every closed subset is Gδ is subparacompact.

Remark Edit

Reference Edit

  • Dennis K. Burke, On subcompact spaces, Proc. Amer. Math. Soc. Vol.23 No.3 (1969) pp.655-663.
  • R. E. Hodel, A note on subparacompact spaces, Proceedings of the American Mathematical Society, 1970.