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

^*Corresponding author for this work

Einstein Institute of Mathematics

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

13 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 - Nov 2012

Bibliographical note

Funding Information:
∗Corresponding author. †Research supported by the United States-Israel Binational Science Foundation, and ISF grant no. 242/03. This is publication 1002 of the second author. Key words and phrases: ultrafilter number, pcf theory, large cardinal. Mathematics Subject Classification: 03E05, 03E55.

Keywords

large cardinal
pcf theory
ultrafilter number

Access to Document

10.1007/s10474-012-0245-0

Cite this

@article{c70dd4ee604240898493982babeae5f1,

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.",

keywords = "large cardinal, pcf theory, ultrafilter number",

author = "Shimon Garti and Saharon Shelah",

note = "Funding Information: ∗Corresponding author. †Research supported by the United States-Israel Binational Science Foundation, and ISF grant no. 242/03. This is publication 1002 of the second author. Key words and phrases: ultrafilter number, pcf theory, large cardinal. Mathematics Subject Classification: 03E05, 03E55.",

year = "2012",

month = nov,

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

language = "אנגלית",

volume = "137",

pages = "296--301",

journal = "Acta Mathematica Hungarica",

issn = "0236-5294",

publisher = "Springer Netherlands",

number = "4",

}

TY - JOUR

T1 - The ultrafilter number for singular cardinals

AU - Garti, Shimon

AU - Shelah, Saharon

N1 - Funding Information: ∗Corresponding author. †Research supported by the United States-Israel Binational Science Foundation, and ISF grant no. 242/03. This is publication 1002 of the second author. Key words and phrases: ultrafilter number, pcf theory, large cardinal. Mathematics Subject Classification: 03E05, 03E55.

PY - 2012/11

Y1 - 2012/11

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

U2 - 10.1007/s10474-012-0245-0

DO - 10.1007/s10474-012-0245-0

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84868708666

SN - 0236-5294

VL - 137

SP - 296

EP - 301

JO - Acta Mathematica Hungarica

JF - Acta Mathematica Hungarica

IS - 4

ER -

The ultrafilter number for singular cardinals

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this