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.
@article{7437,
title = {On a class of topological groups - doi: 10.5269/bspm.v24i1-2.7437},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {23},
year = {2009},
doi = {10.5269/bspm.v24i1-2.7437},
language = {EN},
url = {http://dml.mathdoc.fr/item/7437}
}
Pombo Jr., Dinamérico P. On a class of topological groups - doi: 10.5269/bspm.v24i1-2.7437. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v24i1-2.7437. http://gdmltest.u-ga.fr/item/7437/