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A note on D-spaces. (English) Zbl 1150.54340

Summary: Every semi-stratifiable space or strong \(\Sigma\)-space has a \(\sigma\)-cushioned (mod \(k\))-network. In this paper it is shown that every space with a \(\sigma\)-cushioned (mod \(k\))-network is a D-space, which is a common generalization of some results about D-spaces.

MSC:

54E18 \(p\)-spaces, \(M\)-spaces, \(\sigma\)-spaces, etc.
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
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