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.

کلیدواژه ها:

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