Английская Википедия:Feebly compact space
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Шаблон:Short description In mathematics, a topological space is feebly compact if every locally finite cover by nonempty open sets is finite. The concept was introduced by S. Mardeĉić and P. Papić in 1955.[1]
Some facts:
- Every compact space is feebly compact.[1]
- Every feebly compact paracompact space is compact.Шаблон:Citation needed
- Every feebly compact space is pseudocompact but the converse is not necessarily true.[1]
- For a completely regular Hausdorff space the properties of being feebly compact and pseudocompact are equivalent.Шаблон:Citation needed
- Any maximal feebly compact space is submaximal.[2]
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