Completely primeL-filters, irreducibleL-filters and sobriety

DOI10.2989/16073606.2016.1173123zbMath1422.54037OpenAlexW2527552612MaRDI QIDQ5236033

No author found.

Publication date: 15 October 2019

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2016.1173123

zbMATH Keywords

sobrietylattice-valued topologylattice-valued filter

Mathematics Subject Classification ID

Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Probabilistic metric spaces (54E70)

Related Items (3)

A category of complete residuated lattice-value neighborhood groups ⋮ Connectedness for lattice-valued subsets in lattice-valued convergence spaces ⋮ Stratified lattice-valued neighborhood tower group

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A survey of fuzzifications of frames, the Papert-Papert-Isbell adjunction and sobriety
• An approach to fuzzy frames via fuzzy posets
• Sobriety and spatiality in categories of lattice-valued algebras
• Subcategories of lattice-valued convergence spaces
• Category theoretic aspects of chain-valued frames. II: Applications to lattice-valued topology
• Lattice-valued convergence spaces and regularity
• An enriched category approach to many valued topology
• Irreducible filters and sober spaces
• Applications of localic separation axioms, compactness axioms, representations, and compactifications to poslat topological spaces
• \(L\)-fuzzy version of Stone's representation theorem for distributive lattices
• Category-theoretic fuzzy topological spaces and their dualities
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• Pointfree Aspects of theT_dAxiom of Classical Topology
• Frames and Locales
• FUZZY SOBRIETY AND FUZZY HAUSDORFF
• A CATEGORY OF L-FUZZY CONVERGENCE SPACES
• SOBRIETY AND SEMI-SOBRIETY OF L-TOPOLOGICAL SPACES
• Continuous Lattices and Domains
• Atomless Parts of Spaces.

This page was built for publication: Completely primeL-filters, irreducibleL-filters and sobriety