Dicompleteness and real dicompactness of ditopological texture spaces

DOI10.1016/j.topol.2011.06.040zbMath1226.54028OpenAlexW2019205856MaRDI QIDQ719726

Filiz Yıldız, Lawrence M. Brown

Publication date: 11 October 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11655/19776

zbMATH Keywords

texture\(T\)-latticealmost-plain texturedicompactnessdicompletionditopologyHewitt reflectornearly plain dicompletionnearly plain dicompletion reflectornearly-plain texturereal dicompactnessreal textureStone--Čech reflector

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Realcompactness and realcompactification (54D60) Uniform structures and generalizations (54E15) Bitopologies (54E55) Real-valued functions in general topology (54C30)

Related Items (3)

Inverse systems and limits in the category of ditopological plain spaces ⋮ Some categorical aspects of the inverse limits in ditopological context ⋮ Inverse systems and inverse limits in the category of plain textures

Cites Work

• The prime dicompletion of a di-uniformity on a plain texture
• Plain ditopological texture spaces
• Ditopological texture spaces and fuzzy topology. III: Separation axioms
• Sequentially dinormal ditopological texture spaces and dimetrizability
• Real dicompact textures
• Real dicompactifications of ditopological texture spaces
• Ditopological texture spaces and intuitionistic sets
• Ditopological texture spaces and fuzzy topology. I: basic concepts
• Ditopological texture spaces and fuzzy topology. II: topological considerations
• Asymmetry and duality in topology
• 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
• Bitopological Spaces
• Di-uniform texture spaces
• Categories of Dicompact bi-T₂texture spaces and a Banach-Stone theorem
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