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

6 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

Access to Document

10.1016/j.apal.2021.103055

Cite this

@article{cdebebcbc3274b0da0f9c0cd61a4301b,

title = "On the ideal J[κ]",

abstract = "Motivated by a question from a recent paper by Gilton, Levine and Stejskalov{\'a}, 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<2ℵn=ℵn+1, if □(ℵn+1) holds, then there exists an ℵn+1-Souslin tree.",

keywords = "Souslin tree, square, xbox",

author = "Assaf Rinot",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier B.V.",

year = "2022",

month = feb,

doi = "10.1016/j.apal.2021.103055",

language = "אנגלית",

volume = "173",

journal = "Annals of Pure and Applied Logic",

issn = "0168-0072",

publisher = "Elsevier BV",

number = "2",

}

TY - JOUR

T1 - On the ideal J[κ]

AU - Rinot, Assaf

PY - 2022/2

Y1 - 2022/2

N2 - 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<2ℵn=ℵn+1, if □(ℵn+1) holds, then there exists an ℵn+1-Souslin tree.

AB - 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<2ℵn=ℵn+1, if □(ℵn+1) holds, then there exists an ℵn+1-Souslin tree.

KW - Souslin tree

KW - square

KW - xbox

UR - https://www.scopus.com/pages/publications/85116796127

U2 - 10.1016/j.apal.2021.103055

DO - 10.1016/j.apal.2021.103055

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

AN - SCOPUS:85116796127

SN - 0168-0072

VL - 173

JO - Annals of Pure and Applied Logic

JF - Annals of Pure and Applied Logic

IS - 2

M1 - 103055

ER -

On the ideal J[κ]

Abstract

Bibliographical note

Funding

Keywords

Access to Document

Other files and links

Fingerprint

Cite this