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SOME APPLICATIONS OF SUPERCOMPACT EXTENDER BASED FORCINGS TO HOD

Published online by Cambridge University Press:  01 August 2018

MOTI GITIK  and
CARMI MERIMOVICH
MOTI GITIK
Affiliation:
SCHOOL OF MATHEMATICAL SCIENCES RAYMOND AND BEVERLY SACKLER FACULTY OF EXACT SCIENCES TEL AVIV UNIVERSITY RAMAT AVIV 69978, ISRAELE-mail:gitik@post.tau.ac.il
CARMI MERIMOVICH
Affiliation:
COMPUTER SCIENCE SCHOOL TEL AVIV ACADEMIC COLLEGE 2 RABENUM YEROHAM ST. TEL AVIV, ISRAELE-mail:carmi@cs.mta.ac.il
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Abstract

Supercompact extender based forcings are used to construct models with HOD cardinal structure different from those of V. In particular, a model where all regular uncountable cardinals are measurable in HOD is constructed.

Keywords

Primary 03E3503E55large cardinalsextender based forcingHODEaston iteration
Type
Articles
Information
The Journal of Symbolic Logic , Volume 83 , Issue 2 , June 2018 , pp. 461 - 476
Copyright
Copyright © The Association for Symbolic Logic 2018 

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References

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