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nearly compact

Last-modified: 2010-09-01 (水) 22:21:43

Definition Edit

A topological space is called nearly compact iff every regular open cover has a finite subcover.

Property Edit

  • [Singal-Mathur] A topological space X is nearly compact iff every open cover U of X has a finite subfamily F such that imgtex.fcgi?%5bres=100%5d%7b$%5c%7b%5cmathrm%7bint%7d%28%5cmathrm%7bcl%7d%28A%29%29:A%5cin%20F%5c%7d$%7d%25.png cover X.

Remark Edit

Reference Edit

  • J. Dontchev, M. Ganster and T. Noiri, On p-closed spaces, Internat. J. Math. & Math. Sci. Vol.24, No.3 (2000) pp.203-212.
  • M.K. Singal and Asha Mathur, On nearly-compact spaces, Boll. Un. Mat. Ital. (4) 2(1969), 702-710.