The lower and upper \(p\)-topological (\(p\)-regular) modifications for lattice-valued convergence spaces

DOI10.1016/j.fss.2015.03.002zbMath1392.54011OpenAlexW2012299942MaRDI QIDQ723216

Qiu Jin, Kai Hu, Lingqiang Li, Guangwu Meng

Publication date: 30 July 2018

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

Full work available at URL: https://doi.org/10.1016/j.fss.2015.03.002

zbMATH Keywords

lattice-valued topologylattice-valued convergence spacelower topological (regular) modificationupper topological (regular) modification

Mathematics Subject Classification ID

Fuzzy topology (54A40) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (12)

CONNECTING T AND LATTICE-VALUED CONVERGENCES ⋮ Stratified \(L\)-prefilter convergence structures in stratified \(L\)-topological spaces ⋮ Categorical properties of L-fuzzifying convergence spaces ⋮ Connectedness for lattice-valued subsets in lattice-valued convergence spaces ⋮ Regularity of fuzzy convergence spaces ⋮ Convergence structures in M-fuzzifying convex spaces ⋮ Connectedness and local connectedness for lattice-valued convergence spaces ⋮ Hull operators and interval operators in \((L,M)\)-fuzzy convex spaces ⋮ A topology on lattice-ordered groups ⋮ Lattice-valued convergence associated with CNS spaces ⋮ Convenient properties of stratified L-convergence tower spaces ⋮ One-axiom characterizations on lattice-valued closure (interior) operators

Cites Work

• The category of stratified \(L\)-filter spaces
• Degrees of compactness in \((L, M)\)-fuzzy convergence spaces and its applications
• Lattice-valued convergence spaces: extending the lattice context
• On adjunctions between Lim, SL-Top, and SL-Lim
• A note on regularity
• Completion of stratified \((L,M)\)-filter tower spaces
• Diagonal conditions for lattice-valued uniform convergence spaces
• Modifications: lattice-valued structures
• Gähler's neighborhood condition for lattice-valued convergence spaces
• On stratified \(L\)-convergence spaces: pretopological axioms and diagonal axioms
• On stratified \(L\)-convergence spaces: Fischer's diagonal axiom
• Subcategories of lattice-valued convergence spaces
• Lattice-valued convergence spaces and regularity
• On many-valued stratified \(L\)-fuzzy convergence spaces
• Lattice-valued spaces: fuzzy convergence
• An enriched category approach to many valued topology
• Stratified \(L\)-ordered convergence structures
• \(p\)-topological and \(p\)-regular: Dual notions in convergence theory
• Lattice-valued convergence spaces: weaker regularity and \(p\)-regularity
• Lattice-valued semiuniform convergence spaces
• Convergence spaces and diagonal conditions
• \(p\)-topologicalness and \(p\)-regularity for lattice-valued convergence spaces
• Stratified \(L\)-ordered quasiuniform limit spaces
• P-Regular Convergence Spaces
• A CATEGORY OF L-FUZZY CONVERGENCE SPACES
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The lower and upper \(p\)-topological (\(p\)-regular) modifications for lattice-valued convergence spaces