Algebraic obstructions to sequential convergence in Hausdorff abelian groups.
Clark, Bradd, Cates, Sharon (1998)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “-sequences in abelian groups.”
Algebraic obstructions to sequential convergence in Hausdorff abelian groups.
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Janakiraman, S., Rajagopalan, M.
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The -topology is not completable
Adolf Mader (1983)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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The existence of initially -compact group topologies on free Abelian groups is independent of ZFC
Artur Hideyuki Tomita (1998)
Commentationes Mathematicae Universitatis Carolinae
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It was known that free Abelian groups do not admit a Hausdorff compact group topology. Tkachenko showed in 1990 that, under CH, a free Abelian group of size admits a Hausdorff countably compact group topology. We show that no Hausdorff group topology on a free Abelian group makes its -th power countably compact. In particular, a free Abelian group does not admit a Hausdorff -compact nor a sequentially compact group topology. Under CH, we show that a free Abelian group does not admit...