Paracompactness and full normality in ditopological texture spaces

DOI10.1006/jmaa.1998.6090zbMath0920.54029OpenAlexW2061864788MaRDI QIDQ1273692

Lawrence M. Brown, Murat Diker

Publication date: 15 September 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6090

zbMATH Keywords

ditopologydicoverdicover fully normaldicover paracompact

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Fuzzy topology (54A40) Bitopologies (54E55) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)

Related Items

Lebesgue quasi-uniformity on textures, Ditopological texture spaces and fuzzy topology. I: basic concepts, Ditopological texture spaces and fuzzy topology. II: topological considerations, One-point compactifications of ditopological texture spaces, On some dicardinal functions in ditopological texture spaces, Ditopological texture spaces and fuzzy topology. III: Separation axioms, A Wallman-type compactification of texture spaces, Textures and \(C\)-spaces, Textures and covering based rough sets, A textural view of the distinction between uniformities and quasi-uniformities, Unnamed Item, Fuzzy sets as texture spaces. I: Representation theorems, Fuzzy sets as texture spaces. II: Subtextures and quotient textures, Revisiting di-uniformity and full-dinormality via dicovers, Sequentially dinormal ditopological texture spaces and dimetrizability, Interior and closure operators on texture spaces. I: Basic concepts and Čech closure operators, Lebesgue and co-Lebesgue di-uniform texture spaces, Unnamed Item, Ditopological texture spaces and intuitionistic sets

Cites Work

• Generalized fuzzy sets
• Theory of topological molecular lattices
• Semi-sequentially normal bitopological spaces
• A comparison of different compactness notions in fuzzy topological spaces
• Ditopological texture spaces and intuitionistic sets
• On the goodness of some types of fuzzy paracompactness
• Asymmetry and duality in topology
• Connectedness in ditopological texture spaces
• Fuzzy sets as texture spaces. I: Representation theorems
• Fuzzy sets as texture spaces. II: Subtextures and quotient textures
• L-fuzzy sets
• Bitopological Spaces
• Characterizations of Quasi-Uniformities†
• Paracompactness and product spaces
• Separation axioms in fuzzy topological spaces
• Fuzzy topological spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item