Feebly compact space
From Wikipedia, the free encyclopedia
In mathematics, in the realm of topology, a topological space is said to be 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 pseducompact 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.