Aspects of strong compactness, measurability, and indestructibility

Archive for Mathematical Logic 41 (8):705-719 (2002)
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Abstract

We prove three theorems concerning Laver indestructibility, strong compactness, and measurability. We then state some related open questions.

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10.1007/s001530200139

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Some remarks on indestructibility and Hamkins? lottery preparation.Arthur W. Apter - 2003 - Archive for Mathematical Logic 42 (8):717-735.

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References found in this work

Strong axioms of infinity and elementary embeddings.Robert M. Solovay - 1978 - Annals of Mathematical Logic 13 (1):73.
Squares, scales and stationary reflection.James Cummings, Matthew Foreman & Menachem Magidor - 2001 - Journal of Mathematical Logic 1 (01):35-98.
The lottery preparation.Joel David Hamkins - 2000 - Annals of Pure and Applied Logic 101 (2-3):103-146.
Gap forcing: Generalizing the lévy-Solovay theorem.Joel David Hamkins - 1999 - Bulletin of Symbolic Logic 5 (2):264-272.
Destruction or preservation as you like it.Joel David Hamkins - 1998 - Annals of Pure and Applied Logic 91 (2-3):191-229.

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