D. Herden

collaborators

3 papers

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…

math.CA2019

A theorem of Besicovitch and a generalization of the Birkhoff Ergodic Theorem

Paul Hagelstein, Daniel Herden, Alexander Stokolos

A remarkable theorem of Besicovitch is that an integrable function $f$ on $R^{2}$ is strongly differentiable if and only if its associated strong maximal function $M_{S} f$ is…

math.GR2019

$ℵ_{k}$ -free cogenerators

Manfred Dugas, Daniel Herden, Saharon Shelah

We prove in ZFC that an abelian group $C$ is cotorsion if and only if $Ext (F, C) = 0$ for every $ℵ_{k}$ -free group $F$ , and discuss some consequences and related r…

On the absoluteness of ℵ1​-freeness

A theorem of Besicovitch and a generalization of the Birkhoff Ergodic Theorem

ℵk​-free cogenerators

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

$ℵ_{k}$ -free cogenerators