Lattice-valued quasi-bi-uniformizability of lattice-valued quasi-bi-topological neighborhood groups by T. M. G. Ahsanullah, Fawzi Al-Thukair and Jawaher Al-Mufarrij
Ahsanullah, T. M. G. . 2015
Considering a frame $L$, we introduce the notions of stratified $L$-semi-topological neighborhood group, stratified $L$-quasi-topological neighborhood group, and stratified $L$-quasi-bi-topological neighborhood group. In so doing, we look at the notion of stratified $L$-right (left) semi-topological neighborhood group, provide some basic facts, and present a construction of a stratified $L$-right semi-topological neighborhood group. We prove that every stratified $L$-quasi-bi-topological neighborhood group is $L$-quasi-bi-uniformizable; and finally, we present conditions under which a stratified $L$-quasi-topological neighborhood group is a stratified $L$-topological neighborhood group.
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