Abstract

Using the notion of ωs-balanced semitopological group and some cardinal invariants, Kumar and Tyagi [7] characterize when a regular (T 1, Hausdorff) semitopological group admits a homeomorphic embedding as a subgroup into a product of regular (T 1, Hausdorff) semitopological groups with a strong development. In this paper, we show that a T 0 semitopological group G is topologically isomorphic to a subgroup of a topological product of T 0 semitopological groups with a strong development if and only if G is ωs-balanced. Then the main theorems of [7] are immediate consequences of our result mentioned above.

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