One-parameter subgroups of topological abelian groups

M. J. Chasco

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arXiv · 1407.1178

One-parameter subgroups of topological abelian groups

M. J. Chasco

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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.

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BibTeX RIS

M. J. Chasco. 2014-07-04. One-parameter subgroups of topological abelian groups. https://arxiv.org/abs/1407.1178

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