  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.
