Feebly compact space
From HandWiki
Revision as of 16:28, 4 August 2021 by imported>PolicyIA (attribution)
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.
This article does not cite any external source. HandWiki requires at least one external source. See citing external sources. (2021) (Learn how and when to remove this template message) |
![]() | Original source: https://en.wikipedia.org/wiki/Feebly compact space.
Read more |