Definition
A space X is said to be n-starcompact if for every open cover U of X, there is some finite subset V of U such that , where if B is subset of X and H is collection of subsets of X, , , , .
Reference
- van Douwen, E. K., Reed, G. M.(4-OXSE), Roscoe, A. W.(4-OXUC) and Tree, I. J.(4-OXM),Star covering properties, Topology Appl. 39 (1991), no. 1, 71--103.