One-parameter subgroups of topological abelian groups
General Topology
2014-07-07 v1
Abstract
It is proved that, for a wide class of topological abelian groups (locally quasi--convex groups for which the canonical evaluation from the group into its Pontryagin bidual group is onto) the arc component of the group is exactly the union of the one--parameter subgroups. We also prove that for metrizable separable locally arc-connected reflexive groups, the exponential map from the Lie algebra into the group is open.
Cite
@article{arxiv.1407.1178,
title = {One-parameter subgroups of topological abelian groups},
author = {M. J. Chasco},
journal= {arXiv preprint arXiv:1407.1178},
year = {2014}
}