Complete ω-balancedness in semitopological groups.

Abstract We introduce the notion of completely ω -balanced semitopological group and prove that this property is preserved under subgroups and topological products. We also show that a regular semitopological group G admits a homeomorphic embedding as a subgroup into a product of strongly metrizable semitopological groups if and only if G is completely ω -balanced and I r (G) ≤ ω. [ABSTRACT FROM AUTHOR]