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- W3155443239 abstract "We force a classification of all the Abelian groups of cardinality at most 2c that admit a countably compact group with a non-trivial convergent sequence. In particular, we answer (consistently) Question 24 of Dikranjan and Shakhmatov [10] for cardinality at most 2c, by showing that if a non-torsion Abelian group of size at most 2c admits a countably compact Hausdorff group topology, then it admits a countably compact Hausdorff group topology with non-trivial convergent sequences." @default.
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- W3155443239 date "2021-06-01" @default.
- W3155443239 modified "2023-09-24" @default.
- W3155443239 title "Forcing a classification of non-torsion Abelian groups of size at most <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.svg><mml:msup><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mi mathvariant=fraktur>c</mml:mi></mml:mrow></mml:msup></mml:math> with non-trivial convergent sequences" @default.
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- W3155443239 doi "https://doi.org/10.1016/j.topol.2021.107684" @default.
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