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Large Cardinals and Anti-Saturation Results on Ideals

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thesis
posted on 2021-08-01, 00:00 authored by Noah Garron Schoem
We present an anti-saturation result for ideals at inaccessible cardinals, a mutual stationarity property for Magidor generic sequences, and characterize genericity for a Magidor-like forcing with guided interleaved collapses.

History

Advisor

Sinapova, Dima

Chair

Sinapova, Dima

Department

Mathematics , Statistics, and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

  • Doctoral

Degree name

PhD, Doctor of Philosophy

Committee Member

Baldwin, John Calderoni, Filippo Cox, Sean Freitag, James

Submitted date

August 2021

Thesis type

application/pdf

Language

  • en

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    Keywords

    IdealsMutual StationarityLarge CardinalsForcing

    Licence

    In Copyright

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