Complicated colorings, revisited

Assaf Rinot; Jing Zhang

doi:10.1016/j.apal.2022.103243

Complicated colorings, revisited

Assaf Rinot, Jing Zhang

Department of Mathematics

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

1 Scopus citations

Abstract

In a paper from 1997, Shelah asked whether Pr₁(λ⁺,λ⁺,λ⁺,λ) holds for every inaccessible cardinal λ. Here, we prove that an affirmative answer follows from □(λ⁺). Furthermore, we establish that for every pair χ<κ of regular uncountable cardinals, □(κ) implies Pr₁(κ,κ,κ,χ).

Original language	English
Article number	103243
Journal	Annals of Pure and Applied Logic
Volume	174
Issue number	4
DOIs	https://doi.org/10.1016/j.apal.2022.103243
State	Published - Apr 2023

Bibliographical note

Funding Information:
The first author is partially supported by the European Research Council (grant agreement ERC-2018-StG 802756 ) and by the Israel Science Foundation (grant agreement 2066/18 ). The second author is supported by the Foreign Postdoctoral Fellowship Program of the Israel Academy of Sciences and Humanities and by the Israel Science Foundation (grant agreement 2066/18 ).

Publisher Copyright:
© 2023 Elsevier B.V.

Keywords

Square
Strong colorings
Walks on ordinals

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10.1016/j.apal.2022.103243

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Complicated colorings, revisited

Abstract

Bibliographical note

Keywords

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