Strong Polarized Relations for the Continuum

Shimon Garti; Saharon Shelah

doi:10.1007/s00026-012-0130-0

Strong Polarized Relations for the Continuum

Shimon Garti, Saharon Shelah

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

8 Scopus citations

Abstract

We prove that the strong polarized relation, is consistent with ZFC. We show this for μ = א0, and for every supercompact cardinal μ. We also characterize the polarized relation below the splitting number.

Original language	English
Pages (from-to)	271-276
Number of pages	6
Journal	Annals of Combinatorics
Volume	16
Issue number	2
DOIs	https://doi.org/10.1007/s00026-012-0130-0
State	Published - 1 Jun 2012
Externally published	Yes

Keywords

forcing
large cardinals
partition calculus

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

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10.1007/s00026-012-0130-0

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title = "Strong Polarized Relations for the Continuum",

abstract = "We prove that the strong polarized relation, is consistent with ZFC. We show this for μ = א0, and for every supercompact cardinal μ. We also characterize the polarized relation below the splitting number.",

keywords = "forcing, large cardinals, partition calculus",

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AB - We prove that the strong polarized relation, is consistent with ZFC. We show this for μ = א0, and for every supercompact cardinal μ. We also characterize the polarized relation below the splitting number.

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KW - large cardinals

KW - partition calculus

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M3 - Article

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JO - Annals of Combinatorics

JF - Annals of Combinatorics

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ER -

Strong Polarized Relations for the Continuum

Abstract

Keywords

ASJC Scopus subject areas

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