Polarized relations at singulars over successors

Shimon Garti

doi:10.1016/j.disc.2020.111961

Polarized relations at singulars over successors

Shimon Garti

Einstein Institute of Mathematics

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

1 Scopus citations

Abstract

Erdős, Hajnal and Rado asked whether [Formula presented] and whether [Formula presented]. We shall prove that both relations are independent over ZFC. We shall also prove that [Formula presented] is independent over ZF for some μ>cf(μ)=ω₁.

Original language	English
Article number	111961
Journal	Discrete Mathematics
Volume	343
Issue number	9
DOIs	https://doi.org/10.1016/j.disc.2020.111961
State	Published - Sep 2020

Bibliographical note

Publisher Copyright:
© 2020 Elsevier B.V.

Keywords

Determinacy
Generalized Martin's axiom
Polarized partition relations
Scales

Access to Document

10.1016/j.disc.2020.111961

Cite this

@article{39dc9628ba9f4e8ba74b2446cd70743a,

title = "Polarized relations at singulars over successors",

abstract = "Erd{\H o}s, Hajnal and Rado asked whether [Formula presented] and whether [Formula presented]. We shall prove that both relations are independent over ZFC. We shall also prove that [Formula presented] is independent over ZF for some μ>cf(μ)=ω1.",

keywords = "Determinacy, Generalized Martin's axiom, Polarized partition relations, Scales",

author = "Shimon Garti",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",

year = "2020",

month = sep,

doi = "10.1016/j.disc.2020.111961",

language = "אנגלית",

volume = "343",

journal = "Discrete Mathematics",

issn = "0012-365X",

publisher = "Elsevier",

number = "9",

}

TY - JOUR

T1 - Polarized relations at singulars over successors

AU - Garti, Shimon

PY - 2020/9

Y1 - 2020/9

N2 - Erdős, Hajnal and Rado asked whether [Formula presented] and whether [Formula presented]. We shall prove that both relations are independent over ZFC. We shall also prove that [Formula presented] is independent over ZF for some μ>cf(μ)=ω1.

AB - Erdős, Hajnal and Rado asked whether [Formula presented] and whether [Formula presented]. We shall prove that both relations are independent over ZFC. We shall also prove that [Formula presented] is independent over ZF for some μ>cf(μ)=ω1.

KW - Determinacy

KW - Generalized Martin's axiom

KW - Polarized partition relations

KW - Scales

UR - http://www.scopus.com/inward/record.url?scp=85084811433&partnerID=8YFLogxK

U2 - 10.1016/j.disc.2020.111961

DO - 10.1016/j.disc.2020.111961

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

AN - SCOPUS:85084811433

SN - 0012-365X

VL - 343

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 9

M1 - 111961

ER -

Polarized relations at singulars over successors

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this