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Automorphisms of $𝓟(λ)/ℐ_{κ}$

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Larson P., McKenney P.

Fundamenta Mathematicae

2016

tom 233

nr 3

271-291

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.

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1 Fundamenta Mathematicae

1 Larson P.

1 McKenney P.

1 2016

Wyniki wyszukiwania

Automorphisms of $𝓟(λ)/ℐ_{κ}$