ENRICHED LATTICE-VALUED TOPOLOGICAL GROUPS

Abstract

In this paper, we focus on enriched cl-premonoid-valued topological groups, and their so-called change-of-basis lattice. In so doing, we take L as an enriched cl-premonoid and present a category SL-NTopGrp, of stratified enriched cl-premonoid-valued neighborhood topological groups. We produce some characterization theorems, and prove that every stratified L-neighborhood topological group is uniformizable. Finally, we look at the enriched lattice-valued neighborhood topological group when the underlying basis is changed under certain functorial mechanism.