Nets and ⊤-Filters

In this paper‎, ‎we develop a theory of $\top$-nets and study their relation to $\top$-filters‎. ‎We show that convergence in strong $L$-topological spaces can be described by both $\top$-nets and $\top$-filters and both concepts are equivalent in the sense that definitions and proofs that are given...

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Bibliographic Details
Published in:Transactions on fuzzy sets and systems 2022-05, Vol.1 (1), p.59-73
Main Author: Gunther Jäger
Format: Article
Language:English
Subjects:
convergence
filter
fuzzy topology
net
strong ⊤-topological space
Online Access:Get full text
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Summary:In this paper‎, ‎we develop a theory of $\top$-nets and study their relation to $\top$-filters‎. ‎We show that convergence in strong $L$-topological spaces can be described by both $\top$-nets and $\top$-filters and both concepts are equivalent in the sense that definitions and proofs that are given using $\top$-filters can also be given using $\top$-nets and vice versa‎.
ISSN:2821-0131
DOI:10.30495/tfss.2022.690291