Automorphisms of $𝓟(λ)/ℐ_{κ}$

• Autorzy: Paul Larson , Paul McKenney
• Języki publikacji: EN

Abstrakty

EN

We study conditions on automorphisms of Boolean algebras of the form $𝓟(λ)/ℐ_{κ}$ (where λ is an uncountable cardinal and $ℐ_{κ}$ is the ideal of sets of cardinality less than κ ) which allow one to conclude that a given automorphism is trivial. We show (among other things) that every automorphism of $𝓟(2^{κ})/ℐ_{κ⁺}$ which is trivial on all sets of cardinality κ⁺ is trivial, and that $MA_{ℵ₁}$ implies both that every automorphism of 𝓟(ℝ)/Fin is trivial on a cocountable set and that every automorphism of 𝓟(ℝ)/Ctble is trivial.

Kategorie tematyczne

• 06E05: Structure theory
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2016
• Tom: 233
• Numer: 3
• Strony: 271-291

Daty

wydano

2016

Twórcy

autor

Paul Larson

• Department of Mathematics, Miami University, Oxford, OH 45056, U.S.A.

autor

Paul McKenney

• Department of Mathematics, Miami University, Oxford, OH 45056, U.S.A.

Identyfikatory

DOI

10.4064/fm129-12-2015