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

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	American 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

Bibliographical note

Funding Information:
The first author was partially supported by the Israel Science Foundation Grant 1832/19. The second author research was partially supported by the Lise Meitner FWF grant 2650-N35 and by the Israel Science Foundation Grant 1967/21.

Publisher Copyright:
© The Author(s), 2023. Published by Cambridge University Press.

Access to Document

10.1017/fms.2023.15

Cite this

@article{074eebcf446941b0b7d97c5e239f6376,

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 = "Funding Information: The first author was partially supported by the Israel Science Foundation Grant 1832/19. The second author research was partially supported by the Lise Meitner FWF grant 2650-N35 and by the Israel Science Foundation Grant 1967/21. 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 = "American English",

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

N1 - Funding Information: The first author was partially supported by the Israel Science Foundation Grant 1832/19. The second author research was partially supported by the Lise Meitner FWF grant 2650-N35 and by the Israel Science Foundation Grant 1967/21. Publisher Copyright: © The Author(s), 2023. Published by Cambridge University Press.

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 - Article

AN - SCOPUS:85150377213

SN - 2050-5094

VL - 11

JO - Forum of Mathematics, Sigma

JF - Forum of Mathematics, Sigma

M1 - e19

ER -

On ω-Strongly Measurable Cardinals

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this