ON STRATIFIED LATTICE-VALUED CONVERGENCE SPACES

In this paper we provide a common framework for different stratified LM-convergence spaces introduced recently. To this end, we slightly alter the definition of a stratified LMN-convergence tower space. We briefly discuss the categorical properties and show that the category of these spaces is a Cartesian closed and extensional topological category. We also study the relationship of our category to the categories of stratified L-topological spaces and of enriched LM-fuzzy topological spaces.

Keywords:

Lattice-valued convergence , LM-convergence space , Stratified LMN-convergence tower space , Stratified LM-filter , Stratified L-topological space , Enriched LM-fuzzy topological space