*Definition 1 [#x8e0999b]
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 [#za62bcee]
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*Reference [#g9fee2d1]
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 [#yf5b3568]
A topological space X is called mildly compact if every clopen cover has a finite subcover.

*Reference [#jf81af40]
R. Staum, ''The algebra of bounded continuous functions into a nonarchimedean field'', Pacific J. Math., 50 (1974), 169-185.