M. K. Bellini

activity

20182022

most citedAlgebraic structure of countably compact non-torsion Abelian groups of size continuum from selective ultrafilters

5 citations · 6 across the 6 of their papers we have counts for

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Showing 2019Show all

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math.GN2019★ 5 cited

Algebraic structure of countably compact non-torsion Abelian groups of size continuum from selective ultrafilters

M. K. Bellini, A. C. Boero, V. O. Rodrigues +1

Assuming the existence of $c$ incomparable selective ultrafilters, we classify the non-torsion Abelian groups of cardinality $c$ that admit a countably compact…

math.GN2019

On $p$ -compact group topologies on direct sums of $Q$

Matheus Koveroff Bellini, Vinicius de Oliveira Rodrigues, Artur Hideyuki Tomita

We prove that if $p$ is a selective ultrafilter then $Q^{(κ)}$ has a $p$ -compact group topology without non-trivial convergent sequences, for each infinite cardinal $κ=κ^…

Algebraic structure of countably compact non-torsion Abelian groups of size continuum from selective ultrafilters

On p-compact group topologies on direct sums of Q

On $p$ -compact group topologies on direct sums of $Q$