Some results in ℒ-fuzzy metric spaces

Some results in ℒ-fuzzy metric spaces

The purpose of this paper to prove Baire's theorem and uniform limit theorem for ℒ-fuzzy metric spaces. Also, we show every separable ℒ-fuzzy metric spaces are second countable and subspace of a separable ℒ-fuzzy metric space is separable.

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Veröffentlicht in:Carpathian Journal of Mathematics 2008-01, Vol.24 (2), p.37-44
1. Verfasser: Efe, Hakan
Format: Artikel
Sprache:eng
Schlagworte:
Chaos theory
Fractals
Fuzzy sets
Mathematical lattices
Mathematical theorems
Mathematics
Metric spaces
Separable spaces
Solitons
Topological spaces
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Zusammenfassung:The purpose of this paper to prove Baire's theorem and uniform limit theorem for ℒ-fuzzy metric spaces. Also, we show every separable ℒ-fuzzy metric spaces are second countable and subspace of a separable ℒ-fuzzy metric space is separable.
ISSN:1584-2851
1843-4401