On ω-Strongly Measurable Cardinals

Omer Ben-Neria; Yair Hayut

doi:10.1017/fms.2023.15

On ω-Strongly Measurable Cardinals

Omer Ben-Neria, Yair Hayut

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

We prove several consistency results concerning the notion of ω-strongly measurable cardinal in. In particular, we show that is it consistent, relative to a large cardinal hypothesis weaker than, that every successor of a regular cardinal is -strongly measurable in.

Original language	English
Article number	e19
Journal	Forum of Mathematics, Sigma
Volume	11
DOIs	https://doi.org/10.1017/fms.2023.15
State	Published - 15 Mar 2023

All Science Journal Classification (ASJC) codes

Analysis
Theoretical Computer Science
Algebra and Number Theory
Statistics and Probability
Mathematical Physics
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Mathematics

Access to Document

10.1017/fms.2023.15

Cite this

@article{ed38b231e1bd4fedbc70b12bdadb64b4,

title = "On ω-Strongly Measurable Cardinals",

abstract = "We prove several consistency results concerning the notion of ω-strongly measurable cardinal in. In particular, we show that is it consistent, relative to a large cardinal hypothesis weaker than, that every successor of a regular cardinal is -strongly measurable in.",

author = "Omer Ben-Neria and Yair Hayut",

note = "Publisher Copyright: {\textcopyright} The Author(s), 2023. Published by Cambridge University Press.",

year = "2023",

month = mar,

day = "15",

doi = "10.1017/fms.2023.15",

language = "الإنجليزيّة",

volume = "11",

journal = "Forum of Mathematics, Sigma",

issn = "2050-5094",

publisher = "Cambridge University Press",

}

TY - JOUR

T1 - On ω-Strongly Measurable Cardinals

AU - Ben-Neria, Omer

AU - Hayut, Yair

PY - 2023/3/15

Y1 - 2023/3/15

N2 - We prove several consistency results concerning the notion of ω-strongly measurable cardinal in. In particular, we show that is it consistent, relative to a large cardinal hypothesis weaker than, that every successor of a regular cardinal is -strongly measurable in.

AB - We prove several consistency results concerning the notion of ω-strongly measurable cardinal in. In particular, we show that is it consistent, relative to a large cardinal hypothesis weaker than, that every successor of a regular cardinal is -strongly measurable in.

UR - http://www.scopus.com/inward/record.url?scp=85150377213&partnerID=8YFLogxK

U2 - 10.1017/fms.2023.15

DO - 10.1017/fms.2023.15

M3 - مقالة

SN - 2050-5094

VL - 11

JO - Forum of Mathematics, Sigma

JF - Forum of Mathematics, Sigma

M1 - e19

ER -

On ω-Strongly Measurable Cardinals

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this