Magidor cardinals

Shimon Garti; Yair Hayut

doi:10.2969/jmsj/07017327

Magidor cardinals

Shimon Garti^*, Yair Hayut

^*Corresponding author for this work

Einstein Institute of Mathematics

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

1 Scopus citations

Abstract

We define Magidor cardinals as Jónsson cardinals upon replacing colorings of finite subsets by colorings of ?₀-bounded subsets. Unlike Jónsson cardinals which appear at some low level of large cardinals, we prove the consistency of having quite large cardinals along with the fact that no Magidor cardinal exists.

Original language	English
Pages (from-to)	1-23
Number of pages	23
Journal	Journal of the Mathematical Society of Japan
Volume	70
Issue number	1
DOIs	https://doi.org/10.2969/jmsj/07017327
State	Published - 2018

Bibliographical note

Publisher Copyright:
© 2018 The Mathematical Society of Japan.

Keywords

Jónsson cardinals
Magidor cardinals
Quilshon principles
Square
large cardinals

Access to Document

10.2969/jmsj/07017327

Cite this

@article{5c6b5fce6e294724b3ab3771e3606374,

title = "Magidor cardinals",

abstract = "We define Magidor cardinals as J{\'o}nsson cardinals upon replacing colorings of finite subsets by colorings of ?0-bounded subsets. Unlike J{\'o}nsson cardinals which appear at some low level of large cardinals, we prove the consistency of having quite large cardinals along with the fact that no Magidor cardinal exists.",

keywords = "J{\'o}nsson cardinals, Magidor cardinals, Quilshon principles, Square, large cardinals",

author = "Shimon Garti and Yair Hayut",

note = "Publisher Copyright: {\textcopyright} 2018 The Mathematical Society of Japan.",

year = "2018",

doi = "10.2969/jmsj/07017327",

language = "אנגלית",

volume = "70",

pages = "1--23",

journal = "Journal of the Mathematical Society of Japan",

issn = "0025-5645",

publisher = "Mathematical Society of Japan - Kobe University",

number = "1",

}

TY - JOUR

T1 - Magidor cardinals

AU - Garti, Shimon

AU - Hayut, Yair

PY - 2018

Y1 - 2018

N2 - We define Magidor cardinals as Jónsson cardinals upon replacing colorings of finite subsets by colorings of ?0-bounded subsets. Unlike Jónsson cardinals which appear at some low level of large cardinals, we prove the consistency of having quite large cardinals along with the fact that no Magidor cardinal exists.

AB - We define Magidor cardinals as Jónsson cardinals upon replacing colorings of finite subsets by colorings of ?0-bounded subsets. Unlike Jónsson cardinals which appear at some low level of large cardinals, we prove the consistency of having quite large cardinals along with the fact that no Magidor cardinal exists.

KW - Jónsson cardinals

KW - Magidor cardinals

KW - Quilshon principles

KW - Square

KW - large cardinals

UR - http://www.scopus.com/inward/record.url?scp=85041911356&partnerID=8YFLogxK

U2 - 10.2969/jmsj/07017327

DO - 10.2969/jmsj/07017327

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

AN - SCOPUS:85041911356

SN - 0025-5645

VL - 70

SP - 1

EP - 23

JO - Journal of the Mathematical Society of Japan

JF - Journal of the Mathematical Society of Japan

IS - 1

ER -

Magidor cardinals

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this