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On \(D\)-property of strong \(\Sigma \) spaces. (English) Zbl 1090.54018
Summary: It is shown that every strong \(\Sigma \) space is a \(D\)-space. In particular, it follows that every paracompact \(\Sigma \) space is a \(D\)-space.

MSC:
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
54F99 Special properties of topological spaces
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