The least strongly compact can be the least strong and indestructible☆
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Keywords
Supercompact cardinal
Strongly compact cardinal
Strong cardinal
Indestructibility
Prikry forcing
Radin forcing
Closure point
Non-reflecting stationary set of ordinals
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The contents of this paper were presented in a lecture given at the January 20–26, 2002 meeting in Set Theory held at the Mathematics Research Institute, Oberwolfach, Germany. The author wishes to thank the organizers for having invited him to speak at and participate in a very stimulating conference.
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The author is pleased to offer this paper as his contribution to the special volume of Annals of Pure and Applied Logic being compiled in honor of the 60th birthday of Professor James Baumgartner of Dartmouth College. As is true with so many people, Jim’s encouragement and support have been invaluable over the years and have enriched both the mathematical and personal lives of those fortunate enough to know him.
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