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

ASJC Scopus subject areas

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

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Cite this

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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.",

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AU - Hayut, Yair

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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.

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U2 - 10.1017/fms.2023.15

DO - 10.1017/fms.2023.15

M3 - Article

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VL - 11

JO - Forum of Mathematics, Sigma

JF - Forum of Mathematics, Sigma

M1 - e19

ER -

On ω-Strongly Measurable Cardinals

Abstract

ASJC Scopus subject areas

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