Large cardinals and definable well-orderings of the universe

AD Brooke-Taylor

Research output: Non-textual formWeb publication/site

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 using the principle at a proper class of cardinals k. By choosing the cardinals at which coding occurs sufficiently sparsely, we are able to lift the ambeddings witnessing the large cardinal properties without having to meet any non-trivial master conditions.
Original languageEnglish
Publication statusPublished - 16 Nov 2007

Bibliographical note

ISSN: 01680072

Fingerprint Dive into the research topics of 'Large cardinals and definable well-orderings of the universe'. Together they form a unique fingerprint.

  • Cite this

    Brooke-Taylor, AD. (Author). (2007). Large cardinals and definable well-orderings of the universe. Web publication/site http://arxiv.org/abs/0711.2591