Categorical properties of L-Fuzzifying convergence spaces

Bin Pang

doi:10.2298/FIL1811021P

Categorical properties of L-Fuzzifying convergence spaces

Bin Pang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

42 Citations (Scopus)

Abstract

In this paper, categorical properties of L-fuzzifying convergence spaces are investigated. It is shown that (1) the category L-FYC of L-fuzzifying convergence spaces is a strong topological universe; (2) the category L-FYKC of L-fuzzifying Kent convergence spaces, as a bireflective and bicoreflective subcategory of L-FYC, is also a strong topological universe; (3) the category L-FYLC of L-fuzzifying limit spaces, as a bireflective subcategory of L-FYKC, is a topological universe.

Original language	English
Pages (from-to)	4021-4036
Number of pages	16
Journal	Filomat
Volume	32
Issue number	11
DOIs	https://doi.org/10.2298/FIL1811021P
Publication status	Published - 2018

Keywords

Cartesian-closedness
Fuzzy convergence structure
Fuzzy filter
Fuzzy topology

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10.2298/FIL1811021P

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AB - In this paper, categorical properties of L-fuzzifying convergence spaces are investigated. It is shown that (1) the category L-FYC of L-fuzzifying convergence spaces is a strong topological universe; (2) the category L-FYKC of L-fuzzifying Kent convergence spaces, as a bireflective and bicoreflective subcategory of L-FYC, is also a strong topological universe; (3) the category L-FYLC of L-fuzzifying limit spaces, as a bireflective subcategory of L-FYKC, is a topological universe.

KW - Cartesian-closedness

KW - Fuzzy convergence structure

KW - Fuzzy filter

KW - Fuzzy topology

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Categorical properties of L-Fuzzifying convergence spaces

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Keywords

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