On internal characterizations of completely L-regular spaces

[摘要] Complete L-regularity is internally characterized in terms of separating chains of open L-sets. A possible characterization in terms of normal and separating families of dosed L-sets is discussed and it is shown that spaces admitting such families are completely L-regular. The question of whether the converse holds true remains open. Some partial solutions are however given, e.g. in the class of countably compact spaces. (C) 1997 Academic Press.

[发布日期] 1997-12-15