On the simplicity of the automorphism group of \(\mathcal P (\omega )\)/fin

DOI10.1007/BF01627505zbMath0765.03024OpenAlexW2060899766MaRDI QIDQ1204121

Sakaé Fuchino

Publication date: 1 March 1993

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01627505

zbMATH Keywords

automorphism groupCohen realssimplicitymodel of CH

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50)

Cites Work

• Homogeneous Boolean algebras may have non-simple automorphism groups
• Set theory. An introduction to independence proofs
• Some questions about Boolean algebras
• Proper forcing
• PFA Implies all Automorphisms are Trivial
• The Algebraic Simplicity of Certain Groups of Homeomorphisms
• Non-trivial homeomorphisms of βN\N without the continuum hypothesis
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