13 citations · 35 across the 19 of their papers we have counts for
4 papers · 1 filter
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…
A van Douwen-like ZFC theorem for small powers of countably compact groups without non-trivial convergent sequences
Artur Hideyuki Tomita
We show that if and there exists a group topology without non-trivial convergent sequences on an Abelian group such that is countably compact for each the…
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…
On -compact group topologies on direct sums of
Matheus Koveroff Bellini, Vinicius de Oliveira Rodrigues, Artur Hideyuki Tomita
We prove that if is a selective ultrafilter then has a -compact group topology without non-trivial convergent sequences, for each infinite cardinal $κ=κ^…