A-paracompact space
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In mathematics, in the field of topology, a topological space is said to be a-paracompact if every open cover of the topological space has a locally finite refinement. Unlike in the definition of paracompactness we do not insist that the refinement be open.
Some results:
- Every paracompact space is a-paracompact.
- For regular spaces, the two notions coincide.
[edit] See also
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