Forcing a classification of non-torsion Abelian groups of size at most $2^{\mathfrak{c}}$ with non-trivial convergent sequences

Matheus Koveroff Bellini, Vinicius de Oliveira Rodrigues, Artur Hideyuki Tomita

We force a classification of all the Abelian groups of cardinality at most $2^{\mathfrak{c}}$ that admit a countably compact group with a non-trivial convergent sequence. In particula…