3 papers
math.LO2026
Monochromatic sums and quotients in
Mauro Di Nasso, Lorenzo Luperi Baglini, Rosario Mennuni +2
We prove partition regularity of the configuration in a strong infinitary form that extends Hindman's Theorem. We study the related issue of partition regularity of c…
math.LO2026
Ramsey's witnesses
Mauro Di Nasso, Lorenzo Luperi Baglini, Marcello Mamino +2
We introduce the notion of Ramsey partition regularity, a generalisation of partition regularity involving infinitary configurations. We provide characterisations of this notion in…
math.LO2025
Extending orders to types
Lorenzo Luperi Baglini, Marcello Mamino, Rosario Mennuni +2
Given an ordered structure, we study a natural way to extend the order to preorders on type spaces. For definably complete, linearly ordered structures, we give a characterisation…