Forcing Magidor iteration over a core model below 0¶

Omer Ben-Neria

doi:10.1007/s00153-014-0370-2

Forcing Magidor iteration over a core model below 0^¶

Omer Ben-Neria^*

^*Corresponding author for this work

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

7 Scopus citations

Abstract

We study the Magidor iteration of Prikry forcings, and the resulting normal measures on κ, the first measurable cardinal in a generic extension. We show that when applying the iteration to a core model below 0^¶, then there exists a natural correspondence between the normal measures on κ in the ground model, and those of the generic extension.

Original language	English
Pages (from-to)	367-384
Number of pages	18
Journal	Archive for Mathematical Logic
Volume	53
Issue number	3-4
DOIs	https://doi.org/10.1007/s00153-014-0370-2
State	Published - May 2014
Externally published	Yes

Keywords

Core model
Magidor iteration
Normal measures
Prikry forcing

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10.1007/s00153-014-0370-2

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abstract = "We study the Magidor iteration of Prikry forcings, and the resulting normal measures on κ, the first measurable cardinal in a generic extension. We show that when applying the iteration to a core model below 0¶, then there exists a natural correspondence between the normal measures on κ in the ground model, and those of the generic extension.",

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Forcing Magidor iteration over a core model below 0^¶

Abstract

Keywords

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