A coherent family of partial functions on ℕ

Abstract

We prove that there is a family of partial functions fα : Aα → α (α → ω1, Aα is a tower in P(ω)/Fin) such that every surjection g : ω1 → {0, 1} is associated to a cohomologically different Hausdorff gap (see Talayco). This improves a result of Talayco.