Some categorical aspects of fuzzy topology

DOI10.1006/jmaa.2000.7036zbMath0974.54005OpenAlexW2089782941MaRDI QIDQ1593766

Dexue Zhang, Mao-Kang Luo, Ying-Ming Liu

Publication date: 10 December 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7036

Mathematics Subject Classification ID

Fuzzy topology (54A40)

Related Items (5)

Survey of local connectedness axioms and their properties in \(L\)-topological spaces ⋮ Strong fuzzy compact sets and ultra-fuzzy compact sets in \(L\)-topological spaces ⋮ Closure axioms for a class of fuzzy matroids and co-towers of matroids ⋮ Sobriety and localic compactness in categories of \(L\)-bitopological spaces ⋮ \(I\)-fuzzy topological groups

Cites Work

• The categorical topology approach to fuzzy topology and fuzzy convergence
• Point-set lattice-theoretic topology
• On the determination of fuzzy topological spaces and fuzzy neighbourhood spaces by their level-topologies
• Reflectors and coreflectors in the category of fuzzy topological spaces
• Fuzzy neighborhood spaces
• Fuzzy uniform spaces
• Fuzzy topological spaces and fuzzy compactness
• Categorical properties of probabilistic convergence spaces
• On fuzzy sobriety
• Categories isomorphic to FNS
• The relationship between a fuzzy uniformity and its family of \(\alpha\)-level uniformities
• Approach spaces, limit tower spaces, and probabilistic convergence spaces
• A comparison of various uniformities in fuzzy topology.
• On the reflectivity and coreflectivity of \(L\)-fuzzyfying topological spaces in \(L\)-topological spaces.
• On \(L\)-Tychonoff spaces
• Stable subconstructs of FTS. II
• \(L\)-fuzzy version of Stone's representation theorem for distributive lattices
• Fuzzy neighborhood convergence spaces
• Lowen spaces
• Reflexive cum coreflexive subcategories in topology
• A new approach for fuzzy topology. I
• IS THE CONSTRUCT OF L-TOPOLOGICAL SPACES A CO-TOWER EXTENSION OF SOME SIMPLER CONSTRUCT?
• Two decades of fuzzy topology: basic ideas, notions, and results
• SUPER UNIFORM SPACES
• On the Relationship Between Several Basic Categories in Fuzzy Topology
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some categorical aspects of fuzzy topology