4 papers
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 -…
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…
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…
Descriptive properties of I2-embeddings
Vincenzo Dimonte, Martina Iannella, Philipp Lücke
We contribute to the study of generalizations of the Perfect Set Property and the Baire Property to subsets of spaces of higher cardinalities, like the power set of a singu…