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α-almost paracompact

Last-modified: 2010-09-01 (水) 21:57:00

Definition Edit

Let X be a topological space and A be a subset of X. A is called α-almost paracompact iff for every X-open cover of A, there exists a locally finite (for every point in X) family of X-open sets which refines it and the X-closures whose members cover A.

Remark Edit

Reference Edit

I. Kovacevic, Locally almost paracompact spaces, Review of Research Faculty of Science, University of Novi Sad, Vol.10(1980)