Cardinal characteristics at ℵω

S. Garti; M. Gitik; S. Shelah

doi:10.1007/s10474-019-00971-0

Cardinal characteristics at ℵ_ω

S. Garti, M. Gitik, S. Shelah

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

7 Scopus citations

Abstract

We prove the consistency of uℵω<2ℵω. We also show that the consistency strength of this statement is the existence of a measurable cardinal κ with o(κ) = κ^{+ +}.

Original language	English
Pages (from-to)	320-336
Number of pages	17
Journal	Acta Mathematica Hungarica
Volume	160
Issue number	2
DOIs	https://doi.org/10.1007/s10474-019-00971-0
State	Published - 1 Apr 2020
Externally published	Yes

Keywords

consistency strength
pcf theory
ultrafilter number

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/s10474-019-00971-0

Cite this

@article{4e57c4529b6b4031ac5c6d2f765dd1ff,

title = "Cardinal characteristics at ℵω ",

abstract = "We prove the consistency of uℵω<2ℵω. We also show that the consistency strength of this statement is the existence of a measurable cardinal κ with o(κ) = κ+ +.",

keywords = "consistency strength, pcf theory, ultrafilter number",

author = "S. Garti and M. Gitik and S. Shelah",

note = "Publisher Copyright: {\textcopyright} 2019, Akad{\'e}miai Kiad{\'o}, Budapest, Hungary.",

year = "2020",

month = apr,

day = "1",

doi = "10.1007/s10474-019-00971-0",

language = "English",

volume = "160",

pages = "320--336",

journal = "Acta Mathematica Hungarica",

issn = "0236-5294",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - Cardinal characteristics at ℵω

AU - Garti, S.

AU - Gitik, M.

AU - Shelah, S.

PY - 2020/4/1

Y1 - 2020/4/1

N2 - We prove the consistency of uℵω<2ℵω. We also show that the consistency strength of this statement is the existence of a measurable cardinal κ with o(κ) = κ+ +.

AB - We prove the consistency of uℵω<2ℵω. We also show that the consistency strength of this statement is the existence of a measurable cardinal κ with o(κ) = κ+ +.

KW - consistency strength

KW - pcf theory

KW - ultrafilter number

UR - http://www.scopus.com/inward/record.url?scp=85072190439&partnerID=8YFLogxK

U2 - 10.1007/s10474-019-00971-0

DO - 10.1007/s10474-019-00971-0

M3 - Article

AN - SCOPUS:85072190439

SN - 0236-5294

VL - 160

SP - 320

EP - 336

JO - Acta Mathematica Hungarica

JF - Acta Mathematica Hungarica

IS - 2

ER -