The ultrafilter number for singular cardinals

Shimon Garti; Saharon Shelah

doi:10.1007/s10474-012-0245-0

The ultrafilter number for singular cardinals

Shimon Garti
, Saharon Shelah

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

16 Scopus citations

Abstract

We prove the consistency of a singular cardinal λ with small value of the ultrafilter number u _λ, and arbitrarily large value of 2 ^λ.

Original language	English
Pages (from-to)	296-301
Number of pages	6
Journal	Acta Mathematica Hungarica
Volume	137
Issue number	4
DOIs	https://doi.org/10.1007/s10474-012-0245-0
State	Published - 1 Nov 2012
Externally published	Yes

Keywords

large cardinal
pcf theory
ultrafilter number

ASJC Scopus subject areas

General Mathematics

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10.1007/s10474-012-0245-0

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title = "The ultrafilter number for singular cardinals",

abstract = "We prove the consistency of a singular cardinal λ with small value of the ultrafilter number u λ, and arbitrarily large value of 2 λ.",

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year = "2012",

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doi = "10.1007/s10474-012-0245-0",

language = "English",

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journal = "Acta Mathematica Hungarica",

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AU - Shelah, Saharon

PY - 2012/11/1

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N2 - We prove the consistency of a singular cardinal λ with small value of the ultrafilter number u λ, and arbitrarily large value of 2 λ.

AB - We prove the consistency of a singular cardinal λ with small value of the ultrafilter number u λ, and arbitrarily large value of 2 λ.

KW - large cardinal

KW - pcf theory

KW - ultrafilter number

UR - https://www.scopus.com/pages/publications/84868708666

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DO - 10.1007/s10474-012-0245-0

M3 - Article

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JO - Acta Mathematica Hungarica

JF - Acta Mathematica Hungarica

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ER -

The ultrafilter number for singular cardinals

Abstract

Keywords

ASJC Scopus subject areas

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