Lattice-Valued Convergence Spaces: Weaker Regularity and -Regularity

Lingqiang Li and Qiu Jin

Abstract and Applied Analysis, 2014, vol. 2014, 1-11

Abstract:

By using some lattice-valued Kowalsky’s dual diagonal conditions, some weaker regularities for Jäger’s generalized stratified -convergence spaces and those for Boustique et al’s stratified -convergence spaces are defined and studied. Here, the lattice is a complete Heyting algebra. Some characterizations and properties of weaker regularities are presented. For Jäger’s generalized stratified -convergence spaces, a notion of closures of stratified -filters is introduced and then a new -regularity is defined. At last, the relationships between -regularities and weaker regularities are established.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:328153

DOI: 10.1155/2014/328153

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