Abstract:
Assuming the validity of the combinatorial principle p=C, which follows from Martin's axiom, it is proved that an arbitrary nondiscrete metrizable group topology on an Abelian group can be strengthened to a nondiscrete group topology in which each nowhere dense subset is closed.
Citation:
E. G. Zelenyuk, “Topological groups in which each nowhere dense subset is closed”, Mat. Zametki, 64:2 (1998), 207–211; Math. Notes, 64:2 (1998), 177–180