α-almost paracompact

Definition

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

• See almost paracompact.

Reference

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