Separation properties of induced \(\mathbf I(L)\)-topological spaces.

DOI10.1016/S0165-0114(02)00518-3zbMath1046.54008OpenAlexW2008968867MaRDI QIDQ1429778

Xiaoyong Xi, Lanfang Hu, Ge-Ping Wang

Publication date: 27 May 2004

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-0114(02)00518-3

zbMATH Keywords

separation axiomsUrysohn lemma\(L\)-topological space\(L\)-fuzzy unit interval \({\mathbf I}(L)\)induced \({\mathbf I}(L)\)-topological space

Mathematics Subject Classification ID

Fuzzy topology (54A40) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items

An insertion theorem for continuous \(\mathbb I(L)\)-valued functions and its consequences, Survey of local connectedness axioms and their properties in \(L\)-topological spaces, Local convexity and local boundedness of induced \(I(L)\)-topological vector spaces, Some characterization theorems on induced \(I(L)\)-topological spaces, (IC) \(L\)-cotopological spaces

Cites Work

• L-fuzzy normal spaces and Tietze extension theorem
• Induced \(I(L)\)-fuzzy topological spaces
• Normality in fuzzy topological spaces
• Uniformities on fuzzy topological spaces
• ARE HIGHER FUZZY SEPARATION AXIOMS GOOD EXTENSIONS?
• Separation axioms in fuzzy topological spaces
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