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Countably compact group topologies on non-torsion abelian groups of size continuum with non-trivial convergent sequences. (arXiv:1810.05140v1 [math.GN])

来源于:arXiv
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. 查看全文>>