3 papers
math.GN2019
Countably compact group topologies on the free Abelian group of size continuum (and a Wallace semigroup) from a selective ultrafilter
A. C. Boero, I. Castro-Pereira, A. H. Tomita
We prove that the existence of a selective ultrafilter implies the existence of a countably compact Hausdorff group topology on the free Abelian group of size continuum. As a conse…
math.GN2019
Algebraic structure of countably compact non-torsion Abelian groups of size continuum from selective ultrafilters
M. K. Bellini, A. C. Boero, V. O. Rodrigues +1
Assuming the existence of incomparable selective ultrafilters, we classify the non-torsion Abelian groups of cardinality that admit a countably compact…
math.GN2018
Countably compact group topologies on non-torsion abelian groups of size continuum with non-trivial convergent sequences
{Matheus Koveroff Bellini, Ana Carolina Boero, Irene Castro Pereira +2
Under , we answer Question 24 of \cite{dikranjan&shakhmatov3} for cardinality , by showing that if a non-torsion Abelian group of size…