ON THE SET-THEORETIC STRENGTH OF ELLIS’ THEOREM AND THE EXISTENCE OF FREE IDEMPOTENT ULTRAFILTERS ON ω

DOI10.1017/jsl.2018.22zbMath1475.03096OpenAlexW2887543921MaRDI QIDQ4579806

Eleftherios Tachtsis

Publication date: 10 August 2018

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/jsl.2018.22

zbMATH Keywords

axiom of choiceweak axioms of choiceidempotent ultrafiltersEllis' theorem

Mathematics Subject Classification ID

Consistency and independence results (03E35) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Axiom of choice and related propositions (03E25)

Related Items (2)

Idempotent ultrafilters without Zorn’s Lemma ⋮ Hindman's theorem and choice

Cites Work

• Algebra in the Stone-Čech compactification. Theory and applications
• Topological groups and related structures
• Set theory. An introduction to independence proofs
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• Remarks on the Stone Spaces of the Integers and the Reals without AC
• Tychonoff Products of Two-Element Sets and Some Weakenings of the Boolean Prime Ideal Theorem
• Ramsey's theorem in the hierarchy of choice principles
• Idempotent ultrafilters without Zorn’s Lemma
• The Baire Category Property and Some Notions of Compactness
• Set Theory
• A New Proof of the Tychonoff Theorem
• The Existence of Certain Ultrafilters on N and a Conjecture of Graham and Rothschild
• Axiom of choice
• The axiom of choice
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