2 citations · 2 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
Self-divisible ultrafilters and congruences in
Mauro Di Nasso, Lorenzo Luperi Baglini, Rosario Mennuni +2
We introduce self-divisible ultrafilters, which we prove to be precisely those such that the weak congruence relation introduced by Šobot is an equivalence relation…
Monochromatic exponential triples: an ultrafilter proof
Mauro Di Nasso, Mariaclara Ragosta
We present a short ultrafilter proof of the existence of monochromatic exponential triples in any finite coloring of the natural numbers. The proof is given from sc…