Nowhere trivial automorphisms of $P(\lambda)/[\lambda]^{<\lambda}$, for $\lambda$ inaccessible

Name: Nowhere trivial automorphisms of $P(\lambda)/[\lambda]^{<\lambda}$, for $\lambda$ inaccessible
Keywords: Mathematics - Logic

Kellner, Jakob; Shelah, Saharon

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Preprint . 2024

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Nowhere trivial automorphisms of $P(\lambda)/[\lambda]^{<\lambda}$, for $\lambda$ inaccessible

descriptionPublicationkeyboard_double_arrow_right Preprint 18 Nov 2024Funded by:FWF | Forcing for set- and mode..., FWF | Boolean ultrapowers and o...

Authors: Kellner, Jakob; Shelah, Saharon;

arXiv: 2411.11577

Nowhere trivial automorphisms of $P(\lambda)/[\lambda]^{<\lambda}$, for $\lambda$ inaccessible

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Abstract

If $\lambda$ is (strongly) inaccessible and $2^\lambda = \lambda^+$, then there is a nowhere trivial automorphism of the Boolean algebra $\mathcal P(\lambda)/[\lambda]^{<\lambda}$.

Keywords

Mathematics - Logic

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FWF| Forcing for set- and model-theory, FWF| Boolean ultrapowers and other new forcing techniques