Definition
A subset A of a topological space X is called α-nearly compact iff every X-regular open cover of A has a finite subcover. An X-regular open cover consists of subsets of X which are regular open in the topology in X.
Reference
- Cao Ji-Ling, Weakly closed multifunctions and paracompactness, Internat. J. Math and Math. Sci. Vol.16, No.2, pp.345-350 (1993)