10 citations · 17 across the 17 of their papers we have counts for
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Remarks on ultrafilters exponentiation
Lorenzo Luperi Baglini, Boris Šobot
Recently, two exponentiations of ultrafilters have been introduced in [7]. We rephrase them in nonstandard terms, and use the nonstandard formulations to characterize some of their…
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…
Ultrafilters, monads and combinatorial properties
Lorenzo Luperi Baglini
We use nonstandard methods, based on iterated hyperextensions, to develop applications to Ramsey theory of the theory of monads of ultrafilters. This is performed by studying in de…
A topological approach to non-Archimedean Mathematics
Vieri Benci, Lorenzo Luperi Baglini
Non-Archimedean mathematics (in particular, nonstandard analysis) allows to construct some useful models to study certain phenomena arising in PDE's; for example, it allows to cons…