摘要

A space X is absolutely strongly star-Hurewicz if for each sequence. (u(n) : n is an element of N) 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 for each x is an element of X, x is an element of St (F-n, u(n)) for all but finitely many n. In this paper, we investigate the relationships between absolutely strongly star-Hurewicz spaces and related spaces, and also study topological properties of absolutely strongly star-Hurewicz spaces.