Definition 1
A space X is said to be starcompat if for every open cover U of X , there exists a finite subset B of X such that .
Definition 2
Same as 1 1/2-starcompact.
Property
- Every countably compact space is starcompact.
Reference
- Song, Yan-Kui(PRC-NJN-IMM),Remarks on K-starcompact spaces. (English summary),commun. Korean Math. Soc. 22 (2007), no. 4, 569--573.
- Song, Yan-Kui(J-SHIZS), Countable star-covering properties. (English summary) Research in general and geometric topology (Japanese) (Kyoto, 1999), Sūrikaisekikenkyūsho Kōkyūroku No. 1126 (2000), 79--87.