Large Cardinals and Definable Well-Orderings of the Universe

Details Large Cardinals and Definable Well-Orderings of the Universe Large Cardinals and Definable Well-Orderings of the Universe

2007-11-16

arxiv.org/abs/0711.2591v1

Journal of Symbolic Logic 74, no. 2 (June 2009) pp 641-654

Mathematics

Logic

18 pages, submitted with Kurt Goedel Centenary Research Prize Fellowship application

Scientific paper

10.2178/jsl/1243948331

We use a reverse Easton forcing iteration to obtain a universe with a
definable well-ordering, while preserving the GCH and proper classes of a
variety of very large cardinals. This is achieved by coding using the principle
diamond star at a proper class of successor cardinals.

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