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math.GR2026
Generic dense free subgroups of the isometry group of the Urysohn space are NSS
Víctor Hugo Yañez
The isometry group of the bounded Urysohn space, $G = \mathrm{Iso}(\U{1})$ is a central object in the study of Polish groups and topological dynamics. It is known that generic sequ…
math.GR2026
Topologically simple and metrizable free groups with no non-trivial NSS quotients
Víctor Hugo Yañez
A topological group is said to have no small subgroup (resp. no small normal subgroup) if it admits an open neighbourhood of the identity containing no non-trivial subgroup (re…