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math.FA2012
Elementary numerosity and measures
Vieri Benci, Emanuele Bottazzi, Mauro Di Nasso
In this paper we introduce the notion of elementary numerosity as a special function defined on all subsets of a given set X which takes values in a suitable non-Archimedean field,…
math.CO2012
An Elementary Proof of Jin's Theorem with a Bound
Mauro Di Nasso
We present a short proof of Jin's theorem which is entirely elementary, in the sense that no use is made of nonstandard analysis, ergodic theory, measure theory, ultrafilters, or o…