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α-nearly compact

Last-modified: 2011-03-24 (木) 22:33:25

Definition Edit

A subset A of a topological space X is called α-nearly compact iff every X-regular open cover of A has a finite subcover. An X-regular open cover consists of subsets of X which are regular open in the topology in X.

Reference Edit

  • Cao Ji-Ling, Weakly closed multifunctions and paracompactness, Internat. J. Math and Math. Sci. Vol.16, No.2, pp.345-350 (1993)