A partition relation using strongly compact cardinals

Saharon Shelah

doi:10.1090/S0002-9939-02-06789-8

A partition relation using strongly compact cardinals

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

2 Scopus citations

Abstract

If κ is strongly compact and λ > κ and λ is regular (or alternatively cf(λ) ≥ κ), then (2^>λ)⁺ → (λ + ζ)_θ² holds for ζ,θ < κ.

Original language	English
Pages (from-to)	2585-2592
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	131
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9939-02-06789-8
State	Published - Aug 2003

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abstract = "If κ is strongly compact and λ > κ and λ is regular (or alternatively cf(λ) ≥ κ), then (2>λ)+ → (λ + ζ)θ2 holds for ζ,θ < κ.",

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A partition relation using strongly compact cardinals

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