A. H. Tomita

activity

20162026

most citedFinite powers of selectively pseudocompact groups

2 citations · 4 across the 12 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

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…

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

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