Enriched lattice-valued topological groups

Journal Article

Ahsanullah, Fawzi, Jawaher, David, . 2014

• Publication Work Type: Original research
• Publication Online URL: New Mathematics and Natural Computation
• Issue Number: 1
• Volume Number: 10
• Pages: 27-53

Publication 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 enrichedcl-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.