Feebly compact space
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In mathematics, a topological space is feebly compact if every locally finite cover by nonempty open sets is finite.
Some facts:
- Every compact space is feebly compact.
- Every feebly compact paracompact space is compact.
- Every feebly compact space is pseudocompact but the converse is not necessarily true.
- For a completely regular Hausdorff space the properties of being feebly compact and pseudocompact are equivalent.
- Any maximal feebly compact space is submaximal.
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