Coding into HOD via normal measures with some applications | Zendy

Apter Arthur W. | Zendy; Friedman Shoshana | Zendy

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Coding into HOD via normal measures with some applications

Author(s) -

Apter Arthur W.,

Friedman Shoshana

Publication year - 2011

Publication title -

mathematical logic quarterly

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.473

H-Index - 28

eISSN - 1521-3870

pISSN - 0942-5616

DOI - 10.1002/malq.201010010

Subject(s) - mathematics , oracle , coding (social sciences) , discrete mathematics , theoretical computer science , computer science , statistics , programming language

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. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

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