Irresolvable topologies on groups

• Datum: 1998
• Hauptverfasser: Protasov, I. V., Протасов, И. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1998
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4784
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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....