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

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

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

Keywords

forcing
large cardinals
partition calculus

All Science Journal Classification (ASJC) codes

Discrete Mathematics and Combinatorics

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10.1007/s00026-012-0130-0

Cite this

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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",

author = "Shimon Garti and Saharon Shelah",

note = "Funding Information: ∗ Research supported by the United States-Israel Binational Science Foundation. second author.",

year = "2012",

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doi = "10.1007/s00026-012-0130-0",

language = "الإنجليزيّة",

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AU - Garti, Shimon

AU - Shelah, Saharon

N1 - Funding Information: ∗ Research supported by the United States-Israel Binational Science Foundation. second author.

PY - 2012/6/1

Y1 - 2012/6/1

N2 - 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.

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.

KW - forcing

KW - large cardinals

KW - partition calculus

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U2 - 10.1007/s00026-012-0130-0

DO - 10.1007/s00026-012-0130-0

M3 - مقالة

SN - 0218-0006

VL - 16

SP - 271

EP - 276

JO - Annals of Combinatorics

JF - Annals of Combinatorics

IS - 2

ER -

Strong Polarized Relations for the Continuum

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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