Countably compact group topologies on non-torsion abelian groups of size continuum with non-trivial convergent sequences
Under \(\mathfrak{p} = \mathfrak{c}\), we answer Question 24 of \cite{dikranjan&shakhmatov3} for cardinality \({\mathfrak c}\) , by showing that if a non-torsion Abelian group of size continuum admits a countably compact Hausdorff group topology, then it admits a countably compact Hausdorff grou...
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11.10.2018
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| Abstract | Under \(\mathfrak{p} = \mathfrak{c}\), we answer Question 24 of \cite{dikranjan&shakhmatov3} for cardinality \({\mathfrak c}\) , by showing that if a non-torsion Abelian group of size continuum admits a countably compact Hausdorff group topology, then it admits a countably compact Hausdorff group topology with non-trivial convergent sequences. |
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| AbstractList | Under \(\mathfrak{p} = \mathfrak{c}\), we answer Question 24 of \cite{dikranjan&shakhmatov3} for cardinality \({\mathfrak c}\) , by showing that if a non-torsion Abelian group of size continuum admits a countably compact Hausdorff group topology, then it admits a countably compact Hausdorff group topology with non-trivial convergent sequences. |
| Author | Tomita, Artur Hideyuki Matheus Koveroff Bellini de Oliveira Rodrigues, Vinicius Irene Castro Pereira Boero, Ana Carolina |
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