Trivial and non-trivial automorphisms of P(ω1)/[ω1]<N0

Saharon Shelah; Juris Steprāns

doi:10.4064/fm402-11-2017

Trivial and non-trivial automorphisms of P(ω₁)/[ω₁]^<N⁰

Saharon Shelah, Juris Steprāns

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The following statement is shown to be independent of set theory with the Continuum Hypothesis: There is an automorphism of P(ω1)/[ω1]^<N⁰ whose restriction to P(α)/[α]^<N⁰ is induced by a bijection for every α ∈ ω1, but the automorphism itself is not induced by any bijection on ω1.

Original language	English
Pages (from-to)	155-168
Number of pages	14
Journal	Fundamenta Mathematicae
Volume	243
Issue number	2
DOIs	https://doi.org/10.4064/fm402-11-2017
State	Published - 2018

Bibliographical note

Publisher Copyright:
© Instytut Matematyczny PAN, 2018.

Keywords

Automorphism
Boolean algebra
Diamond

Access to Document

10.4064/fm402-11-2017

Cite this

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