Coding into HOD via normal measures with some applications
نویسندگان
چکیده
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.
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ورودعنوان ژورنال:
- Math. Log. Q.
دوره 57 شماره
صفحات -
تاریخ انتشار 2011