Abstract and concrete categories
Abstract and concrete categories
Pretopological and topological lattice-valued convergence spaces
Fuzzy Sets and Systems
Lattice-valued convergence spaces and regularity
Fuzzy Sets and Systems
A common framework for lattice-valued uniform spaces and probabilistic uniform limit spaces
Fuzzy Sets and Systems
Subcategories of lattice-valued convergence spaces
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Lattice-valued convergence spaces: Extending the lattice context
Fuzzy Sets and Systems
Regularity: Lattice-valued Cauchy spaces
Fuzzy Sets and Systems
p-Topologicalness and p-regularity for lattice-valued convergence spaces
Fuzzy Sets and Systems
| Hi-index | 0.20 |
We define diagonal conditions for lattice-valued uniform convergence spaces and show that these conditions are preserved under initial constructions. Further, the forgetful functor from the category of stratified lattice-valued uniform convergence spaces into the category of stratified lattice-valued limit spaces maps these conditions to corresponding conditions. We especially define uniform regularity and characterize this condition by certain closures of lattice-valued filters. As an application we generalize an extension theorem for uniformly continuous mappings.