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On a class of topological groups

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Author(s): Dinamérico P. Pombo Jr

Journal: Boletim da Sociedade Paranaense de Matemática
ISSN 0037-8712

Volume: 24;
Issue: 1-2;
Start page: 25;
Date: 2006;
Original page

Keywords: topological groups | linearly topologized groups.

ABSTRACT
A topological group is an SNS-group if its identity element possessesa 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.
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