Countably compact group topologies on non-torsion Abelian groups of size continuum with non-trivial convergent sequences

Abstract

Under p=c, we answer Question 24 of [9] for cardinality 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.