10 citations · 17 across the 17 of their papers we have counts for
5 papers · 1 filter
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…
A generalization of Gauss' divergence theorem
Vieri Benci, Lorenzo Luperi Baglini
This paper is devoted to the proof Gauss' divergence theorem in the framework of "ultrafunctions". They are a new kind of generalized functions, which have been introduced recently…
Ultrafunctions and Applications
Vieri Benci, Lorenzo Luperi Baglini
This paper deals with a new kind of generalized functions, called "ultrafunctions" which have been introduced recently and developed in some previous works. Their peculiarity is th…
A nonstandard technique in combinatorial number theory
Lorenzo Luperi Baglini
In [9], [15] it has been introduced a technique, based on nonstandard analysis, to study some problems in combinatorial number theory. In this paper we present three applications o…
Ultrafilters maximal for finite embeddability
Lorenzo Luperi Baglini
In [1] the authors showed some basic properties of a pre-order that arose in combinatorial number theory, namely the finite embeddability between sets of natural numbers, and they…