Compactness notions in fuzzy neighborhood spaces

DOI10.1007/BF01170927zbMath0503.54007MaRDI QIDQ1173294

Robert Lowen

Publication date: 1982

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154860

zbMATH Keywords

compactnesscounterexamplesstrong compactnessfuzzy neighborhood spacesalpha- compactnessprobabilistic topological spaceultra compactness

Mathematics Subject Classification ID

Compactness (54D30) Fuzzy topology (54A40) Uniform structures and generalizations (54E15)

Related Items (27)

COMPLETENESS IN FUZZY UNIFORM SPACES ⋮ PRECOMPACTNESS IN FUZZY UNIFORM SPACES ⋮ RELATIVE COMPACTNESS AND COMPACTNESS OF GENERAL SUBSETS IN ANI- TOPOLOGICAL SPACE ⋮ A level-topologies criterion for Lowen fuzzy uniformizability ⋮ The Urysohn lemma for fuzzy neighbourhood spaces ⋮ Concerning the constants in fuzzy topology ⋮ Fuzzy neighborhood convergence spaces ⋮ SIERPINSKI OBJECTS IN SUBCATEGORIES OF FTS ⋮ Dual fuzzy neighbourhood spaces. I ⋮ On regularity axioms in fuzzy neighbourhood spaces ⋮ A generalised form of compactness in fuzzy topological spaces ⋮ Invariant probabilistic metrizability of fuzzy neighbourhood groups ⋮ Nearness concepts in fuzzy neighbourhood spaces and in their fuzzy proximity spaces ⋮ Wallman compactification in FTS ⋮ Linear fuzzy neighborhood spaces. II ⋮ Connecting fuzzifying topologies and generalized ideals by means of fuzzy preorders ⋮ Completeness, compactness, and precompactness in fuzzy uniform spaces. I ⋮ On separation axioms in fuzzy topological spaces, fuzzy neighborhood spaces, and fuzzy uniform spaces ⋮ Hyperspaces of fuzzy sets ⋮ Completeness, compactness, and precompactness in fuzzy uniform spaces. II ⋮ Characterizations of some fuzzy topological notions in probabilistic metric spaces ⋮ Cauchy filters and prefilters ⋮ Conditions on a semigroup to be a fuzzy neighborhood group ⋮ The categorical topology approach to fuzzy topology and fuzzy convergence ⋮ One-point quasi-compactifications for fuzzy neighborhood spaces ⋮ Boundedness in uniform spaces and fuzzy uniform spaces ⋮ Linear fuzzy neighborhood spaces

Cites Work

• Probabilistische Topologien
• Probabilistisch kompakte L-unscharfe Mengen
• Fuzzy neighborhood spaces
• Fuzzy uniform spaces
• Fuzzy topological spaces and fuzzy compactness
• Compactness in fuzzy topological spaces
• A comparison of different compactness notions in fuzzy topological spaces
• The fuzzy Tychonoff theorem
• Covering properties of fuzzy topological spaces
• Convergence in fuzzy topological spaces
• Fuzzy sets
• Fuzzy topological spaces

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