Two cardinal models for singular μ

Shimon Garti; Saharon Shelah

doi:10.1002/malq.200610053

Two cardinal models for singular μ

Shimon Garti
, Saharon Shelah

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

Abstract

We deal here with colorings of the pair (μ⁺, μ), when μ is a strong limit and singular cardinal. We show that there exists a coloring c with no refinement. It follows that the properties of colorings of (μ⁺, μ) when μ is singular differ in an essential way from the case of regular μ (although the identities may be the same).

Original language	English
Pages (from-to)	636-641
Number of pages	6
Journal	Mathematical Logic Quarterly
Volume	53
Issue number	6
DOIs	https://doi.org/10.1002/malq.200610053
State	Published - 15 Nov 2007
Externally published	Yes

Keywords

Colorings
Identities
Pcf theory
Set theory

ASJC Scopus subject areas

Logic

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10.1002/malq.200610053

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abstract = "We deal here with colorings of the pair (μ+, μ), when μ is a strong limit and singular cardinal. We show that there exists a coloring c with no refinement. It follows that the properties of colorings of (μ+, μ) when μ is singular differ in an essential way from the case of regular μ (although the identities may be the same).",

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AU - Shelah, Saharon

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AB - We deal here with colorings of the pair (μ+, μ), when μ is a strong limit and singular cardinal. We show that there exists a coloring c with no refinement. It follows that the properties of colorings of (μ+, μ) when μ is singular differ in an essential way from the case of regular μ (although the identities may be the same).

KW - Colorings

KW - Identities

KW - Pcf theory

KW - Set theory

UR - https://www.scopus.com/pages/publications/35948983740

U2 - 10.1002/malq.200610053

DO - 10.1002/malq.200610053

M3 - Article

AN - SCOPUS:35948983740

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VL - 53

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EP - 641

JO - Mathematical Logic Quarterly

JF - Mathematical Logic Quarterly

IS - 6

ER -

Two cardinal models for singular μ

Abstract

Keywords

ASJC Scopus subject areas

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