Alejandro Poveda

collaborators

2 papers

math.LO2025

On Shelah's Approachability Ideal

Hannes Jakob, Alejandro Poveda

We solve a long-standing open problem of Shelah regarding the \emph{Approachability Ideal} $I [κ^{+}]$ . Given a singular cardinal $ℵ_{γ}$ , a regular cardinal $μ\in (\mathrm{cf}(γ),…

math.RA2024

Almost free modules, perfect decomposition and Enochs's conjecture

Manuel Cortés-Izurdiaga, Alejandro Poveda

Given a module $X$ and a regular cardinal $κ$ we study various notions of $(κ, Add (X))$ -freeness and $(κ, Add (X))$ -separability. Bearing on appropriate set-theoreti…