V. Rodrigues

activity

20182025

most citedCountably compact group topologies on arbitrarily large free Abelian groups

1 citations · 1 across the 3 of their papers we have counts for

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math.GN2020

Forcing a classification of non-torsion Abelian groups of size at most $2^{c}$ 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 $2^{c}$ that admit a countably compact group with a non-trivial convergent sequence. In particula…

math.GN2020

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 $MA_{c} (P (ω) / fin)$ holds. We further stu…

math.GN2018

Small MAD families whose Isbell-Mrówka spaces are pseudocompact

Vinicius de Oliveira Rodrigues, Artur Hideyuki Tomita

Given a countable transitive model $M$ for ZFC+CH, we prove that one can produce a maximal almost disjoint family in $M$ whose Vietoris Hyperspace of its Isbell-Mrówka space is pse…

Forcing a classification of non-torsion Abelian groups of size at most 2c with non-trivial convergent sequences

Maximal almost disjoint families and pseudocompactness of hyperspaces

Small MAD families whose Isbell-Mrówka spaces are pseudocompact

Forcing a classification of non-torsion Abelian groups of size at most $2^{c}$ with non-trivial convergent sequences