English

Unprepared Indestructibility

Logic 2014-09-26 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1202.5836,
  title  = {Unprepared Indestructibility},
  author = {Andrew Brooke-Taylor},
  journal= {arXiv preprint arXiv:1202.5836},
  year   = {2014}
}

Comments

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

R2 v1 2026-06-21T20:25:25.515Z