SOME REMARKS ON ALMOST STAR COUNTABLE SPACES

作者：Song, Yan-Kui^*

来源：Studia Scientiarum Mathematicarum Hungarica, 2015, 52(1): 12-20.

DOI：10.1556/SScMath.52.2015.1.1295

• Star countable
• almost star countable
• weakly star countable

A space X is almost star countable (weakly star countable) if for each open cover U of X there exists a countable subset F of X such that boolean OR(x) (epsilon) (E) (St(x,U) over bar = X (respectively, (boolean OR(x subset of F) St(x, U) over bar = X). In this paper, we investigate the relationships among star countable spaces, almost star countable spaces and weakly star countable spaces, and also study topological properties of almost star countable spaces.

• 出版日期2015-3
• 单位南京师范大学