Unprepared Indestructibility

Details Unprepared Indestructibility Unprepared Indestructibility

2012-02-27

arxiv.org/abs/1202.5836v1

Mathematics

Logic

7 pages. Survey of arXiv:1003.4707. To appear in Proceedings of the RIMS Symposium on Aspects of Descriptive Set Theory, 2011,

Scientific paper

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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