摘要

A space X is absolutely strongly star-Menger if for each sequence (U-n: is an element of EN) of open covers of X and each dense subset D of X, there exists a sequence (F-n: n is an element of N) of finite subsets of D such that {St(F-n,U-n): n is an element of N} is an open cover of X. In this paper, we investigate the relationships between absolutely strongly star-Menger spaces and related spaces, and also study topological properties of absolutely strongly star-Menger spaces.