✦ LIBER ✦
Coding into HOD via normal measures with some applications
✍ Scribed by Arthur W. Apter; Shoshana Friedman
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 116 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
✦ Synopsis
We develop a new method for coding sets while preserving GCH in the presence of large cardinals, particularly supercompact cardinals. We will use the number of normal measures carried by a measurable cardinal as an oracle, and therefore, in order to code a subset A of κ, we require that our model contain κ many measurable cardinals above κ. Additionally we will describe some of the applications of this result.