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On locally compact paracompact spaces.

On locally compact paracompact spaces
Authors: TIRONI, GINO;

On locally compact paracompact spaces.

Abstract

Viene data una dimostrazione elementare del fatto che il prodotto cartesiano di un'infinità numerabile di spazi localmente compatti e paracom¬patti è uno spazio paracompatto. Infine si caratterizzano gli spazi ereditariamente paracompatti e perfettamente normali. An elementary proof is given that the cartesian product of countably many locally compact and paracompact spaces is a paracompact space. Finally hereditarily paracompact and perfectly normal spaces are characterized.

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Italy
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Keywords

hereditarily paracompact and perfectly normal spaces, locally compact paracompact spaces, Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.), Local compactness, \(\sigma\)-compactness, Noncompact covering properties (paracompact, Lindelöf, etc.), product, Product spaces in general topology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green