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

@article{51f8729074e843659566715c1cdc5600,

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

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.",

keywords = "Automorphism, Boolean algebra, Cardinal invariant, Dominating number, Forcing",

author = "Saharon Shelah and Juris Steprāns",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.",

year = "2025",

month = jun,

doi = "10.1007/s40879-025-00830-z",

language = "אנגלית",

volume = "11",

journal = "European Journal of Mathematics",

issn = "2199-675X",

publisher = "Springer International Publishing AG",

number = "2",

}

TY - JOUR

T1 - Revised version of “Non-trivial automorphisms of P(N)/[N]<ℵ0 from variants of small dominating number”

AU - Shelah, Saharon

AU - Steprāns, Juris

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.

PY - 2025/6

Y1 - 2025/6

N2 - 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.

AB - 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.

KW - Automorphism

KW - Boolean algebra

KW - Cardinal invariant

KW - Dominating number

KW - Forcing

UR - http://www.scopus.com/inward/record.url?scp=105007036336&partnerID=8YFLogxK

U2 - 10.1007/s40879-025-00830-z

DO - 10.1007/s40879-025-00830-z

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:105007036336

SN - 2199-675X

VL - 11

JO - European Journal of Mathematics

JF - European Journal of Mathematics

IS - 2

M1 - 36

ER -