Spaces in countable web. (English) Zbl 0974.54011

Yasui, Yoshikazu; Gao, Zhi-Min

Houston J. Math. 25, No. 2, 327-335 (1999).

Summary: We introduce two new covering properties which are called to be in countable web and in countable discrete web, respectively. As is known, almost covering properties are hereditary with respect to a closed subspace, but the above properties will not be hereditary. So in this paper, we discuss their basic properties and relations with other covering properties.

MSC:

54D20	Noncompact covering properties (paracompact, Lindelöf, etc.)
54B05	Subspaces in general topology
54B10	Product spaces in general topology

Keywords:

star of covering; countable discrete web