Michael D. Walton

collaborators

2 papers

math.LO2026

Examples of non-tame abstract elementary classes of abelian groups

Daniel Herden, Marcos Mazari-Armida, Michael D. Walton

We construct an abstract elementary class $K_{1}$ of torsion-free abelian groups such that $K_{1}$ is not $(< ℵ_{0})$ -tame but is $ℵ_{0}$ -tame. This answers a question of [BoVa17]…

math.LO2026

An unstable abstract elementary class of modules: A variation of Paolini-Shelah's example

Daniel Herden, Marcos Mazari-Armida, Michael D. Walton

We construct a class $K^$ of torsion-free abelian groups such that $K^= (K^, \leq_{p})$ is an abstract elementary class with $\operatorname{LS}(\hat{\mathbf{K}…