19 citations · 47 across the 12 of their papers we have counts for
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math.CO2017
Nonstandard Methods in Ramsey Theory and Combinatorial Number Theory
Mauro Di Nasso, Isaac Goldbring, Martino Lupini
The goal of this present manuscript is to introduce the reader to the nonstandard method and to provide an overview of its most prominent applications in Ramsey theory and combinat…
math.LO2017
Idempotent ultrafilters without Zorn's Lemma
Mauro Di Nasso, Eleftherios Tachtsis
We introduce the notion of additive filter and present a new proof of the existence of idempotent ultrafilters on N without any use of Zorn's Lemma, and where one only assumes the…