3 papers
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 Borel Sets
Claudio Agostini, Nick Chapman, Luca Motto Ros +1
Generalizing classical descriptive set theory opens foundational questions about the Borel hierarchy. In this paper we systematically study those questions, working in the general…
math.LO2024
Continuous logic in a classical setting
Claudio Agostini, Stefano Baratella, Silvia Barbina +2
Let be a first-order two-sorted language and consider a class of -structures of the form where varies among structures of the…