Bounded sobriety and k-bounded sobriety of Q-cotopological spaces

DOI10.2298/FIL1907095ZzbMath1499.54072MaRDI QIDQ5080828

Kai Yun Wang, Yu Jing Zhang

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

categoryirreducible closed set\(Q\)-cotopological spacebounded sobrietyk-bounded sobriety

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Fuzzy topology (54A40) Categorical methods in general topology (54B30) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items

On fuzzy monotone convergence \(\mathcal{Q}\)-cotopological spaces

Cites Work

• A survey of fuzzifications of frames, the Papert-Papert-Isbell adjunction and sobriety
• Kernel systems on \(L\)-ordered sets
• On topologies defined by irreducible sets
• An approach to fuzzy frames via fuzzy posets
• Point-set lattice-theoretic topology
• Category theoretic aspects of chain-valued frames. I: Categorical and presheaf theoretic foundations
• Category theoretic aspects of chain-valued frames. II: Applications to lattice-valued topology
• Fuzzy preorder and fuzzy topology
• On lattice-valued frames: the completely distributive case
• Dcpo-completion of posets
• Fuzzy topological spaces and fuzzy compactness
• On fuzzy sobriety
• Liminf convergence in \(\Omega\)-categories
• The answer to a problem posed by Zhao and Ho
• Sobriety of quantale-valued cotopological spaces
• \(L\)-fuzzy version of Stone's representation theorem for distributive lattices
• Complete and directed complete \(\Omega \)-categories
• FUZZY SOBRIETY AND FUZZY HAUSDORFF
• SOBRIETY AND SEMI-SOBRIETY OF L-TOPOLOGICAL SPACES
• Continuous Lattices and Domains
• Fuzzy Galois connections on fuzzy posets
• Atomless Parts of Spaces.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item