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Some remarks on strongly compact spaces and semi compact spaces. (English) Zbl 0668.54016
We consider two rather strong conditions on topological spaces and use them to characterize strongly compact spaces and semi compact spaces. As a consequence we obtain that there exist no infinite spaces which are both strongly compact and semi compact.

MSC:
54D30 Compactness
54A05 Topological spaces and generalizations (closure spaces, etc.)
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