A new regularity \((p\)-regularity) of stratified \(L\)-generalized convergence spaces (Q2794922)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A new regularity \((p\)-regularity) of stratified \(L\)-generalized convergence spaces |
scientific article; zbMATH DE number 6554595
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new regularity \((p\)-regularity) of stratified \(L\)-generalized convergence spaces |
scientific article; zbMATH DE number 6554595 |
Statements
11 March 2016
0 references
lattice-valued topology
0 references
lattice-valued convergence space
0 references
Fischer diagonal condition
0 references
A new regularity \((p\)-regularity) of stratified \(L\)-generalized convergence spaces (English)
0 references
Considering a stratified \(L\)-generalized convergence space [\textit{G. Jäger}, Quaest. Math. 24, No. 4, 501--517 (2001; Zbl 0991.54004)], a notion called \(p\)-regularity is defined by dualizing a Fischer-type diagonal condition [\textit{L. Li} and \textit{Q. Jin}, Fuzzy Sets Syst. 204, 40--52 (2012; Zbl 1254.54010)]; see also [\textit{G. Jäger}, Quaest. Math. 31, No. 1, 11--25 (2008; Zbl 1168.54005)]. Furthermore, a characterization of \(p\)-regularity by a notion of closure of \(L\)-filters is provided.
0 references
