Yasui, Yoshikazu; Gao, Zhi-Min Spaces in countable web. (English) Zbl 0974.54011 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. Cited in 5 Documents 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 PDF BibTeX XML Cite \textit{Y. Yasui} and \textit{Z.-M. Gao}, Houston J. Math. 25, No. 2, 327--335 (1999; Zbl 0974.54011) OpenURL