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ω-starcompact

Last-modified: 2010-12-19 (日) 19:19:30

Definition Edit

  • A space X is said to be strongly n-starcompact if for every open cover U of X, there is some positive integer n and some finite subset B of X such that imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20st%5en%28B%2c%5cmathcal%7bU%7d%29=X%20%5c%5d%7d%25.png

Remark Edit

Reference Edit

  • van Douwen, E. K., Reed, G. M.(4-OXSE), Roscoe, A. W.(4-OXUC) and Tree, I. J.(4-OXM),Star covering properties, Topology Appl. 39 (1991), no. 1, 71--103.