Foundations of Topology

Probabilistic approach spaces

“…We assume some familiarity with category theory and refer to the textbooks [2] and [13] for more details and notation. A construct is a category C with a faithful functor U : C → SET, from C to the category of sets.…”

Lattice-Valued Convergence Spaces: Weaker Regularity andp-Regularity

“…= {0,1}, a generalized stratifiedconvergence space reduces to a convergence space. It is easily seen that F is precisely the filter generated by { : ∈ F} as a filterbasis [29]. And the -regularity reduces to the corresponding crisp notion in [3].…”

On stratified L-convergence spaces: Fischer's diagonal axiom

“…Stratified L-generalized convergence spaces, as a lattice-valued extension of generalized convergence spaces [20], were initiated by Jäger in [8]. Stratified L-convergence spaces or stratified L-ordered convergence spaces, as a subcategory of stratified L-generalized convergence spaces, were proposed by Li in [14] and Fang in [3].…”