2 citations · 4 across the 8 of their papers we have counts for
14 papers
On powers of countably pracompact groups
Artur Hideyuki Tomita, Juliane Trianon-Fraga
In 1990, Comfort asked: is there, for every cardinal number , a topological group such that is countably compact for all cardinals , but $G^α…
Comfort's question on powers in and a Wallace semigroup whose cube is countably compact
J. L. J. Fuentes-Maguiña, A. H. Tomita
We prove that the existence of incomparable selective ultrafilters implies the existence of a Wallace semigroup whose cube is countably compact. In addition, assumin…
-compact group topologies without convergent sequences on countably cofinal torsion-free Abelian groups
Matheus Koveroff Bellini, Artur Hideyuki Tomita
We obtain a forcing construction that shows that it is consistent that the torsion-free Abelian group admits a Hausdorff group topology which is also $\mathcal{U…
Some pseudocompact-like properties in certain topological groups
Artur Hideyuki Tomita, Juliane Trianon-Fraga
We construct in ZFC a countably compact group without non-trivial convergent sequences of size , answering a question of Bellini, Rodrigues and Tomita. We also co…
Countably compact group topologies on arbitrarily large free Abelian groups
M. K. Bellini, K. P. Hart, V. O. Rodrigues +1
We prove that if there are incomparable selective ultrafilters then, for every infinite cardinal such that , there exists a group topology on the free Abel…
Forcing a classification of non-torsion Abelian groups of size at most 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 that admit a countably compact group with a non-trivial convergent sequence. In particula…