Idempotent ultrafilters without Zorn’s Lemma

DOI10.1090/proc/13719zbMath1427.03053arXiv1701.03301OpenAlexW2589624157WikidataQ124850892 ScholiaQ124850892MaRDI QIDQ4590993

Eleftherios Tachtsis, Mauro Di Nasso

Publication date: 21 November 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.03301

zbMATH Keywords

idempotent ultrafiltersultrafilter theoremalgebra on \(\beta\mathbb N\)

Mathematics Subject Classification ID

Ramsey theory (05D10) Other combinatorial set theory (03E05) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Axiom of choice and related propositions (03E25)

Related Items (3)

ON THE SET-THEORETIC STRENGTH OF ELLIS’ THEOREM AND THE EXISTENCE OF FREE IDEMPOTENT ULTRAFILTERS ON ω ⋮ Hindman's theorem and choice ⋮ Hindman's theorem and idempotent types

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