1 citations · 1 across the 2 of their papers we have counts for
4 papers
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…
Maximal almost disjoint families and pseudocompactness of hyperspaces
Osvaldo Guzmán, Michael Hrušák, Vinicius de Oliveira Rodrigues +2
We show that all maximal almost disjoint families have pseudocompact Vietoris hyperspace if and only if holds. We further stu…
Small MAD families whose Isbell-Mrówka spaces are pseudocompact
Vinicius de Oliveira Rodrigues, Artur Hideyuki Tomita
Given a countable transitive model for ZFC+CH, we prove that one can produce a maximal almost disjoint family in whose Vietoris Hyperspace of its Isbell-Mrówka space is pse…