Irresolvable topologies on groups
We prove that there exist ZFC models in which every nondiscrete topological Abelian group can be decomposed into countably many dense subsets. This statement is an answer to the question raised by Comfort and van Mill. We also prove that every submaximal left-topological Abelian group is σ-discrete.
English version (Springer): Ukrainian Mathematical Journal 50 (1998), no. 12, pp 1879-1887.
Citation Example: Protasov I. V. Irresolvable topologies on groups // Ukr. Mat. Zh. - 1998. - 50, № 12. - pp. 1646–1655.