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mildly compact

Last-modified: 2010-12-04 (土) 16:41:15

Definition 1 Edit

A topological space X is mildly compact if any countable open cover of X has a finite subfamily the interiors of the closures of whose members cover X.

Property Edit

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Reference Edit

Abd El-Monsef, M. E.(ET-TANT) and Kozae, A. M.(ET-TANT),Remarks on $s$-closed spaces (Arabic summary), Qatar Univ. Sci. Bull. 6 (1986), 11--21.

Definition 2 Edit

A topological space X is called mildly compact if every clopen cover has a finite subcover.

Reference Edit

R. Staum, The algebra of bounded continuous functions into a nonarchimedean field, Pacific J. Math., 50 (1974), 169-185.