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arXiv · 0711.2591

Large Cardinals and Definable Well-Orderings of the Universe

Andrew D. Brooke-Taylor
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Abstract

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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Andrew D. Brooke-Taylor. 2007-11-16. Large Cardinals and Definable Well-Orderings of the Universe. https://doi.org/10.2178/jsl/1243948331

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