3 papers
math.LO2025
On Borel sets in ideal topologies
Miguel Moreno, Beatrice Pitton
We study the Borel and analytic subsets of the spaces \({}^κκ\) and \({}^κ2\) endowed with ideal topologies, where \(κ\) is a regular uncountable cardinal. We establish that th…
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
Generalized Baire class functions
Luca Motto Ros, Beatrice Pitton
Let be an uncountable cardinal such that . Working in the setup of generalized descriptive set theory, we study the structure of -Borel measurable functio…