Complicated colorings, revisited

Assaf Rinot, Jing Zhang

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


In a paper from 1997, Shelah asked whether Pr1+++,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 languageEnglish
Article number103243
JournalAnnals of Pure and Applied Logic
Issue number4
StatePublished - 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.


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