Open and solved problems concerning polarized partition relations

Shimon Garti; Saharon Shelah

doi:10.4064/fm763-10-2015

Open and solved problems concerning polarized partition relations

Shimon Garti, Saharon Shelah

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

We list some open problems concerning the polarized partition relation. We solve a couple of them, by showing that for every limit non-inaccessible ordinal α there exists a forcing notion ℙ such that the strong polarized relation (Equation) holds in Vℙ.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Fundamenta Mathematicae
Volume	234
Issue number	1
DOIs	https://doi.org/10.4064/fm763-10-2015
State	Published - 1 Jan 2016

Keywords

Cardinal characteristics
PCF theory
Partition calculus

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.4064/fm763-10-2015

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title = "Open and solved problems concerning polarized partition relations",

abstract = "We list some open problems concerning the polarized partition relation. We solve a couple of them, by showing that for every limit non-inaccessible ordinal α there exists a forcing notion ℙ such that the strong polarized relation (Equation) holds in Vℙ.",

keywords = "Cardinal characteristics, PCF theory, Partition calculus",

author = "Shimon Garti and Saharon Shelah",

note = "Publisher Copyright: {\textcopyright} Instytut Matematyczny PAN, 2016.",

year = "2016",

month = jan,

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doi = "10.4064/fm763-10-2015",

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AB - We list some open problems concerning the polarized partition relation. We solve a couple of them, by showing that for every limit non-inaccessible ordinal α there exists a forcing notion ℙ such that the strong polarized relation (Equation) holds in Vℙ.

KW - Cardinal characteristics

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KW - Partition calculus

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DO - 10.4064/fm763-10-2015

M3 - مقالة

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EP - 14

JO - Fundamenta Mathematicae

JF - Fundamenta Mathematicae

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ER -

Open and solved problems concerning polarized partition relations

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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