Complicated colorings, revisited

Assaf Rinot, Jing Zhang

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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
Volume174
Issue number4
DOIs
StatePublished - Apr 2023

Bibliographical note

Publisher Copyright:
© 2023 Elsevier B.V.

Keywords

  • Square
  • Strong colorings
  • Walks on ordinals

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