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math.LO2025
On Borel sets in ideal topologies
Miguel Moreno, Beatrice Pitton
We study the Borel and analytic subsets of the spaces and endowed with ideal topologies, where is a regular uncountable cardinal, thereby addressing some open p…
math.LO2025
On Borel subsets of generalized Baire spaces
Tapani Hyttinen, Miguel Moreno, Jouko Väänänen
We develop Descriptive Set Theory in Generalized Baire Spaces without assuming . We point out that without this assumption the basic topological concepts of these spaces…