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On fuzzy C-paracompact topological spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 03 Aug 2021 Spain Publisher:AIP PublishingJournal:AIP Conference Proceedings, volume 2,849, page 450,039 (issn: 0094-243X, Copyright policy )
Authors: Francisco Gallego Lupiáñez;

doi: 10.1063/5.0162080 , 10.1063/5.0162083 , 10.3390/math10091478 , 10.46300/91019.2021.8.5

handle: 20.500.14352/91428 , 20.500.14352/72512 , 20.500.14352/91346

On fuzzy C-paracompact topological spaces

Abstract

The aim of this paper is to study fuzzy extensions of some covering properties defined by A. V. Arhangel’skii and studied by other authors. Indeed, in 2016, A. V. Arhangel’skii defined other paracompact-type properties: C-paracompactness and C2-paracompactness. Later, M. M. Saeed, L. Kalantan and H. Alzumi investigated these two properties. In this paper, we define fuzzy extensions of these notions and obtain results about them, and in particular, prove that these are good extensions of those defined by Arhangel’skii.

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Spain
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Keywords

topology; fuzzy sets; covering properties; fuzzy paracompactness, Fuzzy sets, Topología, topology, 12 Matemáticas, Matemáticas, 1210 Topología, Fuzzy paracompactness, covering properties, Topology, fuzzy sets, fuzzy paracompactness, Paracompactness, Matemáticas (Matemáticas), QA1-939, Covering properties, Mathematics

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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
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