Article ID Journal Published Year Pages File Type
4658397 Topology and its Applications 2015 8 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Authors
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