α-nearly paracompact

Definition

A subset A of a topological space X is called α-nearly paracompact if every X-regular-open cover of A has an X-open X-locally finite refinement which covers A. X-regular open means subsets regular open in the topology in X.

Remark

• See α-paracompact, nearly paracompact.

Reference

• Cao Ji-Ling, Weakly closed multifunctions and paracompactness, Internat. J. Math and Math. Sci. Vol.16, No.2, pp.345-350 (1993)