Local property, normality, and uniformity in fuzzy topological spaces

DOI10.1016/0022-247X(87)90158-2zbMath0639.54005OpenAlexW2080259010MaRDI QIDQ1099834

Xiao-Dong Zhao

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(87)90158-2

zbMATH Keywords

completely distributive latticesquasi-uniformityfuzzy latticeaccumulation points\(T_ i(i=0,1,2,)\)derived elementsextended functionsgeneralized molecular latticeslocal fuzzy topological properties

Mathematics Subject Classification ID

Fuzzy topology (54A40) Uniform structures and generalizations (54E15) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)

Related Items

Representation theorem of fuzzy lattices and its applications in fuzzy topology, Basic structures of fuzzy topology, On inductive dimensions for fuzzy topological spaces, Particle lattices and fuzzy particle lattices, Connectedness on fuzzy topological spaces, Accumulation point and C. T. Yang's theorem in \(L\)-fuzzy topological spaces

Cites Work

• Functions, equivalence relations, quotient spaces and subsets in fuzzy set theory
• Products of fuzzy topological spaces
• Fuzzy topology. I: Neighborhood structure of a fuzzy point and Moore-Smith convergence
• Fuzzy topology. II: Product and quotient spaces
• Intersection operation on union-preserving mappings in completely distributive lattices
• Normality in fuzzy topological spaces
• Uniformities on fuzzy topological spaces
• Fuzzy sets
• Separation axioms in fuzzy topological spaces
• Fuzzy topological spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item