Open Access
2014 Lattice-Valued Convergence Spaces: Weaker Regularity and p-Regularity
Lingqiang Li, Qiu Jin
Abstr. Appl. Anal. 2014: 1-11 (2014). DOI: 10.1155/2014/328153


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.


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Lingqiang Li. Qiu Jin. "Lattice-Valued Convergence Spaces: Weaker Regularity and p-Regularity." Abstr. Appl. Anal. 2014 1 - 11, 2014.


Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 1315.54007
MathSciNet: MR3166598
Digital Object Identifier: 10.1155/2014/328153

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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