Title
Connecting ⊤ And Lattice-Valued Convergences
Keywords
Compactification; Lattice-valued convergence; Regularity; Topological; ⊤-convergence spaces
Abstract
⊤-filters can be used to define ⊤-convergence spaces in the lattice-valued context. Connections between ⊤-convergence spaces and lattice-valued convergence spaces are given. Regularity of a ⊤-convergence space has recently been defined and studied by Fang and Yue. An equivalent characterization is given in the present work in terms of convergence of closures of ⊤-filters. Moreover, a compactification of a ⊤-convergence space is constructed whenever L is a complete Boolean algebra.
Publication Date
7-1-2018
Publication Title
Iranian Journal of Fuzzy Systems
Volume
15
Issue
4
Number of Pages
151-169
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.22111/ijfs.2018.4122
Copyright Status
Unknown
Socpus ID
85053763320 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/85053763320
STARS Citation
Reid, Lyall and Richardson, Gary, "Connecting ⊤ And Lattice-Valued Convergences" (2018). Scopus Export 2015-2019. 8733.
https://stars.library.ucf.edu/scopus2015/8733