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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
##### Keywords:
$$D$$-space; strong $$\Sigma$$ space
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