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Spaces in countable web. (English) Zbl 0974.54011

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
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