Amenable colorings

Shimon Garti

doi:10.1007/s40879-016-0125-1

Amenable colorings

Shimon Garti^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

4 Scopus citations

Abstract

Let κ be any regular cardinal. Assuming the existence of a huge cardinal above κ, we prove the consistency of [InlineEquation not available: see fulltext.] for every ordinal τ< κ^{+ +}. Likewise, we prove that [InlineEquation not available: see fulltext.] is consistent when A is strongly closed under countable intersections.

Original language	English
Pages (from-to)	77-86
Number of pages	10
Journal	European Journal of Mathematics
Volume	3
Issue number	1
DOIs	https://doi.org/10.1007/s40879-016-0125-1
State	Published - 1 Mar 2017

Bibliographical note

Publisher Copyright:
© 2017, Springer International Publishing AG.

Keywords

Amenable colorings
Huge cardinals
Martin’s axiom
Partition relations

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10.1007/s40879-016-0125-1

Cite this

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title = "Amenable colorings",

abstract = "Let κ be any regular cardinal. Assuming the existence of a huge cardinal above κ, we prove the consistency of [InlineEquation not available: see fulltext.] for every ordinal τ< κ+ +. Likewise, we prove that [InlineEquation not available: see fulltext.] is consistent when A is strongly closed under countable intersections.",

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author = "Shimon Garti",

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year = "2017",

month = mar,

day = "1",

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AB - Let κ be any regular cardinal. Assuming the existence of a huge cardinal above κ, we prove the consistency of [InlineEquation not available: see fulltext.] for every ordinal τ< κ+ +. Likewise, we prove that [InlineEquation not available: see fulltext.] is consistent when A is strongly closed under countable intersections.

KW - Amenable colorings

KW - Huge cardinals

KW - Martin’s axiom

KW - Partition relations

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Amenable colorings

Abstract

Bibliographical note

Keywords

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