Random reals and polarized colorings-Reference-Cited by-同舟云学术

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Random reals and polarized colorings

Published:2018-06 Issue:2 Volume:55 Page:203-212
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:Studia Scientiarum Mathematicarum Hungarica

Author:

Garti Shimon¹,Shelah Saharon²

Affiliation:

1. 1 Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel

2. 2 Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel and Department of Mathematics, Rutgers University, New Brunswick, NJ 08854, USA

Abstract

We analyze the strong polarized partition relation with respect to several cardinal characteristics and forcing notions of the reals. We prove that random reals (as well as the existence of real-valued measurable cardinals) yield downward negative polarized relations.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/012.2018.55.2.1393

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1. Cardinal characteristics of the continuum and partitions;Israel Journal of Mathematics;2019-11-04

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