Magidor cardinals

Shimon Garti; Yair Hayut

doi:10.2969/jmsj/07017327

Magidor cardinals

Shimon Garti
, Yair Hayut

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 - 1 Jan 2018
Externally published	Yes

Keywords

Jónsson cardinals
Magidor cardinals
Quilshon principles
Square
large cardinals

ASJC Scopus subject areas

General Mathematics

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10.2969/jmsj/07017327

Cite this

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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",

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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.

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KW - Quilshon principles

KW - Square

KW - large cardinals

UR - https://www.scopus.com/pages/publications/85041911356

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DO - 10.2969/jmsj/07017327

M3 - Article

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Magidor cardinals

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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