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math.LO2024
Three forms of the Erdős-Dushnik-Miller Theorem
Paul Howard, Eleftherios Tachtsis
We continue the study of the Erdős-Dushnik-Miller theorem (A graph with an uncountable set of vertices has either an infinite independent set or an uncountable clique) in set theor…
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…