Fine convergence in free groups
Foliations induced by congruences.
Free non-archimedean topological groups
We study free topological groups defined over uniform spaces in some subclasses of the class of non-archimedean groups. Our descriptions of the corresponding topologies show that for metrizable uniformities the corresponding free balanced, free abelian and free Boolean groups are also metrizable. Graev type ultra-metrics determine the corresponding free topologies. Such results are in a striking contrast with free balanced and free abelian topological groups cases (in standard varieties). Another...
Free products of topological groups with equal uniformities, I
Free products of topological groups with equal uniformities, II
Fuzzy neighborhood structures on partially ordered groups.