Revised version of “Non-trivial automorphisms of P(N)/[N]<ℵ0 from variants of small dominating number”

Saharon Shelah; Juris Steprāns

doi:10.1007/s40879-025-00830-z

Revised version of “Non-trivial automorphisms of P(N)/[N]^<ℵ⁰ from variants of small dominating number”

Saharon Shelah
, Juris Steprāns^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

1 Scopus citations

Abstract

This version provides details to fill a gap in a previous version of this article. It is shown that if various cardinal invariants of the continuum related to d are equal to ℵ1 then there is a non-trivial automorphism of P(N)/[N]<ℵ0. Some of these results extend to automorphisms of P(κ)/[κ]<κ if κ is inaccessible.

Original language	English
Article number	36
Journal	European Journal of Mathematics
Volume	11
Issue number	2
DOIs	https://doi.org/10.1007/s40879-025-00830-z
State	Published - Jun 2025

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.

Keywords

Automorphism
Boolean algebra
Cardinal invariant
Dominating number
Forcing

Access to Document

10.1007/s40879-025-00830-z

Cite this

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abstract = "This version provides details to fill a gap in a previous version of this article. It is shown that if various cardinal invariants of the continuum related to d are equal to ℵ1 then there is a non-trivial automorphism of P(N)/[N]<ℵ0. Some of these results extend to automorphisms of P(κ)/[κ]<κ if κ is inaccessible.",

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KW - Boolean algebra

KW - Cardinal invariant

KW - Dominating number

KW - Forcing

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Revised version of “Non-trivial automorphisms of P(N)/[N]^<ℵ⁰ from variants of small dominating number”

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Non-trivial automorphisms of (Formula presented.) from variants of small dominating number

Cite this

Revised version of “Non-trivial automorphisms of P(N)/[N]<ℵ0 from variants of small dominating number”

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Related research output

Non-trivial automorphisms of (Formula presented.) from variants of small dominating number

Cite this

Revised version of “Non-trivial automorphisms of P(N)/[N]^<ℵ⁰ from variants of small dominating number”