A. Pasi

collaborators

2 papers

math.GR2022

Forcing a Basis into $ℵ_{1}$ -Free Groups

Daniel Bossaller, Daniel Herden, Alexandra V. Pasi

In this paper, we address the question of when a non-free $ℵ_{1}$ -free group $H$ can be be free in a transitive cardinality-preserving model extension. Using the $Γ$ -invariant,…

math.GR2021

On the absoluteness of $ℵ_{1}$ -freeness

Daniel Herden, Alexandra V. Pasi

$ℵ_{1}$ -free groups, abelian groups for which every countable subgroup is free, exhibit a number of interesting algebraic and set-theoretic properties. In this paper, we give a…

Forcing a Basis into ℵ1​-Free Groups

On the absoluteness of ℵ1​-freeness

Forcing a Basis into $ℵ_{1}$ -Free Groups

On the absoluteness of $ℵ_{1}$ -freeness