Ditopological texture spaces and fuzzy topology. III: Separation axioms

DOI10.1016/j.fss.2006.02.001zbMath1111.54004OpenAlexW2149335481MaRDI QIDQ853376

Lawrence M. Brown, Rıza Ertürk, Şenol Dost

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.fss.2006.02.001

zbMATH Keywords

textureseparation axiomsbitopologyditopology\(L\)-topological spacesHutton spaces

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Fuzzy topology (54A40) Categorical methods in general topology (54B30) Uniform structures and generalizations (54E15) Bitopologies (54E55) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15)

Related Items (27)

Semi-compactness in ditopological texture spaces and soft fuzzy topological spaces ⋮ On some dicardinal functions in ditopological texture spaces ⋮ Inverse systems and limits in the category of ditopological plain spaces ⋮ Compactness and stability in diframes ⋮ A Tychonoff theorem for graded ditopological texture spaces ⋮ Texture spaces with ideal ⋮ Metric spaces and textures ⋮ Normal base of ditopological texture space and its Wallman-type compactification ⋮ Unnamed Item ⋮ Extended real dicompactness and an application to Hutton spaces ⋮ A textural view of semi-separation axioms in soft fuzzy topological spaces ⋮ Some categorical aspects of the inverse limits in ditopological context ⋮ Sequentially dinormal ditopological texture spaces and dimetrizability ⋮ Almost-s-Menger ditopological texture spaces ⋮ Di-uniformities and Hutton uniformities ⋮ Interior and closure operators on texture spaces. I: Basic concepts and Čech closure operators ⋮ The prime dicompletion of a di-uniformity on a plain texture ⋮ Unnamed Item ⋮ Dicompleteness and real dicompactness of ditopological texture spaces ⋮ Plain ditopological texture spaces ⋮ Convergence in graded ditopological texture spaces ⋮ Unnamed Item ⋮ Real dicompact textures ⋮ Real dicompactifications of ditopological texture spaces ⋮ Unnamed Item ⋮ Graded diextremities ⋮ Di-extremities and totally bounded di-uniformities

Cites Work

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• One-point compactifications of ditopological texture spaces
• Asymmetry and duality in topology
• On inductive dimensions for fuzzy topological spaces
• Fuzzy sets as texture spaces. I: Representation theorems
• Fuzzy sets as texture spaces. II: Subtextures and quotient textures
• A textural view of the distinction between uniformities and quasi-uniformities
• The comparison of topologies
• Bitopological Spaces
• Di-uniform texture spaces
• Pairwise Complete Regularity and Compactification in Bitopological Spaces
• Separation axioms in fuzzy topological spaces

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