We introduce the notion of additive filter and present a new proof of the existence of idempotent ultrafilters on N without using Zorn’s Lemma in its entire power, and where one only assumes the Ultrafilter Theorem for the continuum.
Idempotent ultrafilters without Zorn’s Lemma
DI NASSO, MAURO;Tachtsis, Eleftherios
2018-01-01
Abstract
We introduce the notion of additive filter and present a new proof of the existence of idempotent ultrafilters on N without using Zorn’s Lemma in its entire power, and where one only assumes the Ultrafilter Theorem for the continuum.File in questo prodotto:
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