On Fuzzy C-Paracompact Topological Spaces

Francisco Gallego Lupiáñez
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Francisco Gallego Lupiáñez: Dpt. Mathematics, Universidad Complutense, 28040 Madrid, Spain

Mathematics, 2022, vol. 10, issue 9, 1-3

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 C 2 -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.

Keywords: topology; fuzzy sets; covering properties; fuzzy paracompactness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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