On the ideal J[κ]

Assaf Rinot

doi:10.1016/j.apal.2021.103055

On the ideal J[κ]

Assaf Rinot

Department of Mathematics

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

5 Scopus citations

Abstract

Motivated by a question from a recent paper by Gilton, Levine and Stejskalová, we obtain a new characterization of the ideal J[κ], from which we confirm that κ-Souslin trees exist in various models of interest. As a corollary we get that for every integer n such that b<2^ℵ_n=ℵ_n+1, if □(ℵ_n+1) holds, then there exists an ℵ_n+1-Souslin tree.

Original language	English
Article number	103055
Journal	Annals of Pure and Applied Logic
Volume	173
Issue number	2
DOIs	https://doi.org/10.1016/j.apal.2021.103055
State	Published - Feb 2022

Bibliographical note

Publisher Copyright:
© 2021 Elsevier B.V.

Funding

The author was partially supported by the Israel Science Foundation (grant agreement 2066/18) and by the European Research Council (grant agreement ERC-2018-StG 802756).

Funders	Funder number
Horizon 2020 Framework Programme	802756
European Commission
Israel Science Foundation	2066/18

Keywords

Souslin tree
square
xbox

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10.1016/j.apal.2021.103055

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On the ideal J[κ]

Abstract

Bibliographical note

Funding

Keywords

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