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⊤-nets and ⊤-filters

Publish place: Transactions on Fuzzy Sets and Systems، Vol: 1، Issue: 1
Publish Year: 1401
Type: Journal paper
Language: English
View: 178

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Link to this Paper:
https://civilica.com/doc/1589916

Document National Code:

JR_TFSS-1-1_003

Index date: 17 January 2023

⊤-nets and ⊤-filters abstract

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

⊤-nets and ⊤-filters Keywords:

fuzzy topology , convergence , ⊤-filter , ⊤-net , Strong ⊤-topological space

⊤-nets and ⊤-filters authors

Gunther Jäger

School of mechanical engineering, university of applied sciences Stralsund

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