Non-trivial automorphisms of \({\mathcal {P}}({\mathbb {N}})/[{\mathbb {N}}]^{<\aleph _0}\) from variants of small dominating number

DOI10.1007/s40879-015-0058-0zbMath1352.03055OpenAlexW2178149876MaRDI QIDQ888773

Juris Steprāns, Saharon Shelah

Publication date: 2 November 2015

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-015-0058-0

zbMATH Keywords

automorphismBoolean algebraforcingdominating numbercardinal invariant

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17) Structure theory of Boolean algebras (06E05)

Related Items (3)

Between reduced powers and ultrapowers, II. ⋮ PFA(S) and automorphisms of \(\mathcal{P}(\mathbb{N}) / \mathrm{fin}\) ⋮ Trivial automorphisms

Cites Work

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• Trivial automorphisms
• Many simple cardinal invariants
• Homogeneity problems in the theory of Cech compactifications
• Proper forcing
• OCA and automorphisms of \({\mathfrak P}(\omega)/\text{fin}\)
• Martin’s Axiom is consistent with the existence of nowhere trivial automorphisms
• PFA Implies all Automorphisms are Trivial
• Perfect-set forcing for uncountable cardinals
• Somewhere Trivial Autohomeomorphisms
• The autohomeomorphism group of the Cech-Stone compactification of the integers
• Analytic quotients: theory of liftings for quotients over analytic ideals on the integers

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