Colouring of successor of regular, again

S. Shelah

doi:10.1007/s10474-021-01181-3

Colouring of successor of regular, again

S. Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

1 Scopus citations

Abstract

We get a version of the colouring property Pr₁ proving Pr ₁(λ, λ, λ, ∂) always when λ= ∂⁺, ∂ are regular cardinals and some stationary subset of λ consisting of ordinals of cofinality < ∂ do not reflect in any ordinal < λ.

Original language	English
Pages (from-to)	192-202
Number of pages	11
Journal	Acta Mathematica Hungarica
Volume	165
Issue number	1
DOIs	https://doi.org/10.1007/s10474-021-01181-3
State	Published - Oct 2021

Bibliographical note

Publisher Copyright:
© 2021, Akadémiai Kiadó, Budapest, Hungary.

Keywords

colouring
combinatorial set theory
partition relation
set theory

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10.1007/s10474-021-01181-3

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title = "Colouring of successor of regular, again",

abstract = "We get a version of the colouring property Pr1 proving Pr 1(λ, λ, λ, ∂) always when λ= ∂+, ∂ are regular cardinals and some stationary subset of λ consisting of ordinals of cofinality < ∂ do not reflect in any ordinal < λ.",

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AB - We get a version of the colouring property Pr1 proving Pr 1(λ, λ, λ, ∂) always when λ= ∂+, ∂ are regular cardinals and some stationary subset of λ consisting of ordinals of cofinality < ∂ do not reflect in any ordinal < λ.

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KW - partition relation

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Colouring of successor of regular, again

Abstract

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Keywords

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