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Large Cardinals and Anti-Saturation Results on Ideals

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posted on 01.08.2021, 00:00 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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