Subcategories of lattice-valued convergence spaces
Fuzzy Sets and Systems
Compactification of lattice-valued convergence spaces
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Completion of stratified (L,M)-filter tower spaces
Fuzzy Sets and Systems
Diagonal conditions for lattice-valued uniform convergence spaces
Fuzzy Sets and Systems
Modifications: Lattice-valued structures
Fuzzy Sets and Systems
p-Topologicalness and p-regularity for lattice-valued convergence spaces
Fuzzy Sets and Systems
Hi-index | 0.20 |
A category of lattice-valued Cauchy spaces is defined, and its properties are investigated. The relationship between this category and the recent work by Jager is presented. The notion of regularity in the Cauchy space context is the primary emphasis here. In particular, the category consisting of the regular Cauchy spaces is shown to be bireflective in the category of all lattice-valued Cauchy spaces having Cauchy-continuous maps as its morphisms. Moreover, completions are also investigated.