Abstract
In this paper we introduce the notion of ωs-balanced semitopological groups. We show that a regular (Hausdorff, T 1) semitopological group G admits a homeomorphic embedding as a subgroup into a product of regular (Hausdorff, T 1) semitopological groups with a strong development if and only if G is ωs-balanced and I r(G) ≤ ω(Hs(G) ≤ ω, Sm(G) ≤ ω). We also characterize first-countable ωs-balanced semitopological group in terms of strong development.
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