Subgroups and products of -factorizable -groups
Constancio Hernández, Mihail G. Tkachenko (2004)
Commentationes Mathematicae Universitatis Carolinae
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We show that subgroup of an -factorizable abelian -group is topologically isomorphic to a subgroup of another -factorizable abelian -group. This implies that closed subgroups of -factorizable -groups are not necessarily -factorizable. We also prove that if a Hausdorff space of countable pseudocharacter is a continuous image of a product of -spaces and the space is pseudo--compact, then . In particular, direct products of -factorizable -groups are -factorizable and...