Amenable colorings

Shimon Garti

doi:https://doi.org/10.1007/s40879-016-0125-1

Amenable colorings

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

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	American 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

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

https://doi.org/10.1007/s40879-016-0125-1

Cite this

@article{cc500a8b81de4d059b24ddc4e46ddce7,

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 = "https://doi.org/10.1007/s40879-016-0125-1",

language = "American English",

volume = "3",

pages = "77--86",

journal = "European Journal of Mathematics",

issn = "2199-675X",

publisher = "Springer International Publishing AG",

number = "1",

}

TY - JOUR

T1 - Amenable colorings

AU - Garti, Shimon

PY - 2017/3/1

Y1 - 2017/3/1

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 - http://www.scopus.com/inward/record.url?scp=85013213061&partnerID=8YFLogxK

U2 - https://doi.org/10.1007/s40879-016-0125-1

DO - https://doi.org/10.1007/s40879-016-0125-1

M3 - Article

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

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Cite this