Amenable colorings

Shimon Garti

doi:10.1007/s40879-016-0125-1

Amenable colorings

Shimon Garti

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
Externally published	Yes

Keywords

Amenable colorings
Huge cardinals
Martin’s axiom
Partition relations

ASJC Scopus subject areas

General Mathematics

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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.",

keywords = "Amenable colorings, Huge cardinals, Martin{\textquoteright}s axiom, Partition relations",

author = "Shimon Garti",

note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.",

year = "2017",

month = mar,

day = "1",

doi = "10.1007/s40879-016-0125-1",

language = "English",

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AU - Garti, Shimon

PY - 2017/3/1

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N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85013213061

U2 - 10.1007/s40879-016-0125-1

DO - 10.1007/s40879-016-0125-1

M3 - Article

AN - SCOPUS:85013213061

SN - 2199-675X

VL - 3

SP - 77

EP - 86

JO - European Journal of Mathematics

JF - European Journal of Mathematics

IS - 1

ER -

Amenable colorings

Abstract

Keywords

ASJC Scopus subject areas

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