A one-point compactification for lattice-valued convergence spaces

DOI10.1016/J.FSS.2011.06.007zbMath1244.54016OpenAlexW2056486241MaRDI QIDQ419010

Gunther Jäger

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.fss.2011.06.007

zbMATH Keywords

compactificationframebounded \(L\)-setlattice-valued Rao one-point compactificationlattice-valued Richardson compactificationstratified \(L\)-(ultra)filterstratified \(L\)-generalized convergence spacestrong \(T_2\)-compactificationweakly relatively compact set

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Fuzzy topology (54A40) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Special categories (18B99)

Related Items (5)

Degrees of compactness in \((L, M)\)-fuzzy convergence spaces and its applications ⋮ Stratified \(L\)-prefilter convergence structures in stratified \(L\)-topological spaces ⋮ Largest and smallest T2-compactifications of lattice-valued convergence spaces ⋮ Convenient properties of stratified L-convergence tower spaces ⋮ Extensional L-fuzzy Q-convergence structures

Cites Work

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• Compactness in lattice-valued function spaces
• Subcategories of lattice-valued convergence spaces
• Lattice-valued convergence spaces and regularity
• On many-valued stratified \(L\)-fuzzy convergence spaces
• Compactification of lattice-valued convergence spaces
• Compactifications of convergence spaces
• A CATEGORY OF L-FUZZY CONVERGENCE SPACES
• On Smallest Compactification for Convergence Spaces
• A Stone-Cech Compactification for Limit Spaces

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