Diamonds, compactness, and measure sequences

Omer Ben-Neria

doi:10.1142/S0219061319500028

Diamonds, compactness, and measure sequences

Omer Ben-Neria

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

We establish the consistency of the failure of the diamond principle on a cardinal κ which satisfies a strong simultaneous reflection property. The result is based on an analysis of Radin forcing, and further leads to a characterization of weak compactness of κ in a Radin generic extension.

Original language	English
Article number	1950002
Journal	Journal of Mathematical Logic
Volume	19
Issue number	1
DOIs	https://doi.org/10.1142/S0219061319500028
State	Published - 1 Jun 2019

Keywords

Diamond
Radin forcing
repeat point
stationary reflection
weakly compact cardinal

All Science Journal Classification (ASJC) codes

Logic

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10.1142/S0219061319500028

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title = "Diamonds, compactness, and measure sequences",

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Diamonds, compactness, and measure sequences

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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