The Erdos-Rado arrow for singular cardinals

Saharon Shelah

doi:10.4153/CMB-2009-015-8

The Erdos-Rado arrow for singular cardinals

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

3 Scopus citations

Abstract

We prove in ZFC that if cf(λ) > K₀ and 2 ^cf(λ) < λ, then λ → (λ, ω + 1)².

Original language	English
Pages (from-to)	127-131
Number of pages	5
Journal	Canadian Mathematical Bulletin
Volume	52
Issue number	1
DOIs	https://doi.org/10.4153/CMB-2009-015-8
State	Published - Mar 2009

Keywords

Partition calculus
Set theory

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10.4153/CMB-2009-015-8

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title = "The Erdos-Rado arrow for singular cardinals",

abstract = "We prove in ZFC that if cf(λ) > K0 and 2 cf(λ) < λ, then λ → (λ, ω + 1)2.",

keywords = "Partition calculus, Set theory",

author = "Saharon Shelah",

year = "2009",

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AB - We prove in ZFC that if cf(λ) > K0 and 2 cf(λ) < λ, then λ → (λ, ω + 1)2.

KW - Partition calculus

KW - Set theory

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JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

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The Erdos-Rado arrow for singular cardinals

Abstract

Keywords

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