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semi-metacompact

Last-modified: 2010-12-30 (木) 21:42:30

Definition Edit

A regular Hausdorff space X is said to be semi-metacompact provided that every open cover C of X has an open refinement R so that no non-empty open subset of X is a subset of infinitely many members of R.

Reference Edit

  • Hans-Peter Kunzi and Peter Fletcher, Some Questions Related to Almost 2-Fully Normal Spaces, Rocky Mountain J. Math. Vol.15 (Nov. 1985).