Lattice-valued convergence spaces: weaker regularity and \(p\)-regularity
type: Item
instance of: scholarly article
title: Lattice-valued convergence spaces: weaker regularity and \(p\)-regularity
zbMATH Open document ID: 1470.54004
DOI: 10.1155/2014/328153
author: Lingqiang Li
author: Qiu Jin
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: By using some lattice-valued Kowalsky's dual diagonal conditions, some weaker regularities for Jäger's generalized stratified \(L\)-convergence spaces and those for Boustique et al's stratified \(L\)-convergence spaces are defined and studied. Here, the lattice \(L\) is a complete Heyting algebra. Some characterizations and properties of weaker regularities are presented. For Jäger's generalized stratified \(L\)-convergence spaces, a notion of closures of stratified \(L\)-filters is introduced and then a new \(p\)-regularity is defined. At last, the relationships between \(p\)-regularities and weaker regularities are established.
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 7022180
Wikidata QID: Q59036218
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/328153
OpenAlex ID: W1985304730
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description: scientific article; zbMATH DE number 7022180