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arxiv: 1202.5836 · v1 · pith:KN3Y67NLnew · submitted 2012-02-27 · 🧮 math.LO

Unprepared Indestructibility

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keywords indestructibilityarticleaxiomforcingprinciplevopenkaaspectscardinal
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This article is based on the talk of the same name which I gave at the "Aspects of Descriptive Set Theory" RIMS Symposium in Kyoto in October 2011; it is essentially just a survey of my article "Indestructibility of Vopenka's Principle". In particular, I present (with a sketch of the proof) a forcing indestructibility theorem for the large cardinal axiom Vopenka's Principle. It is notable in that there is no preparatory forcing required to make the axiom indestructible, unlike other indestructibility results.

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