Interior and closure operators on texture spaces. I: Basic concepts and Čech closure operators

DOI10.1016/J.FSS.2009.09.023zbMath1206.54002OpenAlexW2020346994MaRDI QIDQ968934

Murat Diker, Şenol Dost, Ayşegül Altay Uğur

Publication date: 10 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.fss.2009.09.023

zbMATH Keywords

closure operatorinterior operatorL-topologyHutton closure spacei-c-spacetextural morphismTexture space

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Topological spaces and generalizations (closure spaces, etc.) (54A05) Fuzzy topology (54A40) Categorical methods in general topology (54B30)

Related Items (8)

Cowellpoweredness of some categories of quasi-uniform spaces ⋮ Textures and covering based rough sets ⋮ Interior and neighbourhood ⋮ On the reflective and coreflective subcategory of stratified \(L\)-Čech closure spaces ⋮ Textural dependency and concept lattices ⋮ Interior and closure operators on texture spaces. II: Dikranjan-Giuli closure operators and Hutton algebras ⋮ Textural approach to generalized rough sets based on relations ⋮ Dual closure operators and their applications

Cites Work

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• Ditopological texture spaces and fuzzy topology. III: Separation axioms
• A Wallman-type compactification of texture spaces
• Textures and \(C\)-spaces
• Products of fuzzy topological spaces
• Paracompactness and full normality in ditopological texture spaces
• Ditopological texture spaces and intuitionistic sets
• \(T_0\) separation in axiomatic quantum mechanics
• 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
• Fuzzy sets as texture spaces. I: Representation theorems
• A textural view of the distinction between uniformities and quasi-uniformities
• Combinatorial Image Analysis
• Gestufte Räume

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