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absolutely countably compact

Last-modified: 2010-11-29 (月) 21:14:21

Definition Edit

A topological space X is said to be absolutely countably compact iff for every open cover U and for every dense subset D, there exists a finite subset F of D such that imgtex.fcgi?%5bres=100%5d%7b$%5c%7bV%5cin%20%5cmathcal%7bU%7d:V%5ccap%20F%5cne%20%5cemptyset%5c%7d$%7d%25.png covers X.

Reference Edit

K.P.Hart, J. Nagata and J.E. Vaughan, Encyclopedia of general topology, Elsevier Science