Mashhour et al. [1] introduced the notions of P1-paracompactness and P2-paracom pactness of topological spaces in terms of preopen sets.
In this paper, we introduce and investigate a weaker form of paracompactness which is called P3-paracompact. We obtain various characterizations, properties, ...
Nov 4, 2007 · In this paper, we introduce and investigate a weaker form of paracompactness which is called P3-paracompact. We obtain various characterizations ...
It is shown that if a space ( X, T) is quasi-submaximal, then ( X , T ) is paracompact if it is P 3 -paracompACT. Mashhour et al. [1] introduced the notions ...
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In this paper, we introduce and investigate a weaker form of paracompactness which is called P 3 -paracompact. We obtain various characterizations, properties, ...
Missing: P3- | Show results with:P3-
On nearly paracompact spaces ... In this study a new type of weak paracompactness has been defined and some of its certain topological properties were established ...
Missing: P3- | Show results with:P3-
The space X is called countably paracompact if every countable covering has a locally finite refinement.
Missing: P3- | Show results with:P3-
Dieudonné proves that every metric sepa- rable space is paracompact, that every paracompact Hausdorff space is normal, and that if 5i is compact and 52 is ...
In mathematics, a paracompact space is a topological space in which every open cover has an open refinement that is locally finite.
Missing: P3- | Show results with:P3-
Oct 14, 2023 · We introduce the class of Γ-paracompact spaces as a stronger form of paracompactness. A space X is said to be Γ-paracompact (Γ-P, ...