<b>On a class of topological groups</b> - doi: 10.5269/bspm.v24i1-2.7437

Abstract

A topological group is an SNS-group if its identity element possesses a fundamental system of neighborhoods formed by normal subgroups. In this paper we prove the existence of initial SNS-topologies, from which we derive that the class of SNS-groups is closed under the formation of products and projective limits, and we prove the existence of final SNS-topologies, from which we derive that the class of SNS-groups is closed under the formation of free products and inductive limits.