3 papers
math.LO2021
Generalized Polish spaces at regular uncountable cardinals
Claudio Agostini, Luca Motto Ros, Philipp Schlicht
In the context of generalized descriptive set theory, we systematically compare and analyze various notions of Polish-like spaces and standard -Borel spaces for an uncountab…
math.CO2020
Ramsey monoids
Claudio Agostini, Eugenio Colla
Recently, Solecki introduced the notion of Ramsey monoid to produce a common generalization to theorems such as Hindman's theorem, Carlson's theorem, and Gowers' FIN theorem. H…
math.GN2018
On bisequentiality and spaces of strictly decreasing functions on trees
Claudio Agostini, Jacopo Somaglia
We present a characterization of spaces of strictly decreasing functions on trees in terms of bisequentiality. This characterization answers Questions 6.1 and 6.2 of "A filter on a…