On $p$-compact group topologies on direct sums of $\mathbb{Q}$

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

We prove that if $p$ is a selective ultrafilter then ${\mathbb{Q}}^{(\kappa )}$ has a $p$-compact group topology without non-trivial convergent sequences, for each infinite cardinal $κ=κ^…