3 papers
math.LO2026
The -PSP at - sets
Fernando Barrera, Vincenzo Dimonte, Sandra Müller
Given a strong limit cardinal of countable cofinality, we show that if every (boldface) $λ\hyp\boldsymbolÎ ^1_1$ subset of the generalised Cantor space has the -…
math.LO2026
On the problem of generalized measures: an impossibility result
Claudio Agostini, Fernando Barrera, Vincenzo Dimonte
This paper investigates the problem of extending measure theory to non-separable structures, from generalized descriptive set theory to a broader class of spaces beyond this framew…
math.LO2025
Generalized Descriptive Set Theory at Singular Cardinals of Countable Cofinality
Vincenzo Dimonte, Luca Motto Ros
We provide a comprehensive development of the basics of descriptive set theory for non-separable complete metric spaces whose weight is a singular cardinal of countable confin…