Completely omega-balanced topological groups

摘要

We show that a topological group G admits a homeomorphic embedding as a subgroup into a product of strongly metrizable groups if and only if G is completely omega-balanced. Using this fact we obtain a characterization of strongly delta-complete topological groups, i.e., closed subgroups of a product of strongly metrizable groups. (C) 2016 Elsevier B.V. All rights reserved.