On the epireflective hull of topological nearness groups in the category of nearness groups

Abstract

To find the specific nature of the objects that are in the epireflective hull of the symmetric topological spaces in the category of nearness spaces is a long open problem. See [BCH05]for more information. Here we consider topological nearness groups as a full subcategory of nearness groups and ask the analogous question regarding its epireflective hull. Some partial results are presented.

Quaestiones Mathematicae 30(2007), 499–505