4 papers
The Baire and perfect set properties at singulars cardinals
Vincenzo Dimonte, Alejandro Poveda, Sebastiano Thei
We construct a model of ZFC with a singular cardinal such that every subset of in has both the -Perfect Set Property and the -Baire Prope…
Almost free modules, perfect decomposition and Enochs's conjecture
Manuel Cortés-Izurdiaga, Alejandro Poveda
Given a module and a regular cardinal we study various notions of -freeness and -separability. Bearing on appropriate set-theoreti…
Axiom and supercompactness
Alejandro Poveda
We produce a model where every supercompact cardinal is -supercompact with inaccessible targets. This is a significant improvement of the main identity-crises configuratio…
On the property (C) of Corson and other sequential properties of Banach Spaces
Gonzalo Martínez-Cervantes, Alejandro Poveda
A well-known result of R. Pol states that a Banach space has property () of Corson if and only if every point in the weak*-closure of any convex set $C \subseteq B…