3 citations · 6 across the 7 of their papers we have counts for
8 papers
On covering properties of end and ray spaces
Rodrigo Rey Carvalho, Matheus Duzi, Vinicius de Oliveira Rodrigues
We provide new results on combinatorial characterizations of covering properties in end spaces and ray spaces. In particular, we characterize the Lindelöf degree, the extent, the R…
Fin-intersecting MAD families
Cesar Corral, Vinicius de O. Rodrigues
We introduce a new class of almost disjoint families which we call fin-intersecting almost disjoint families. They are related to almost disjoint families whose Vietoris Hyperspace…
Special sets of reals and weak forms of normality on Isbell-Mrówka spaces
Vinicius Rodrigues, Victor dos Santos Ronchim, Paul Szeptycki
We recall some classical results relating normality and some natural weakenings of normality in -spaces over almost disjoint families of branches in the Cantor tree to special s…
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…
Small Cardinals and the Pseudocompactness of Hyperspaces of Subspaces of
Y. F. Ortiz-Castillo, V. O. Rodrigues, A. H. Tomita
We study the relations between a generalization of pseudocompactness, named -pseudocompactness, the countably compactness of subspaces of and the pseudocompactness of…