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feebly
[fee-buhl] 
Feebly compact space
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.
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Last updated on Tuesday June 17, 2008 at 14:17:12 PDT (GMT -0700)
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This article is licensed under the GNU Free Documentation License.
Last updated on Tuesday June 17, 2008 at 14:17:12 PDT (GMT -0700)
View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation
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