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MODIFIED EXTENDER BASED FORCING

Published online by Cambridge University Press:  01 December 2016

DIMA SINAPOVA  and
SPENCER UNGER
DIMA SINAPOVA
Affiliation:
UNIVERSITY OF CALIFORNIA LOS ANGELES, CA, USAE-mail: sunger@math.ucla.edu
SPENCER UNGER
Affiliation:
UNIVERSITY OF ILLINOIS CHICAGO, IL, USAE-mail: sinapova@math.uic.edu
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Abstract

We analyze the modified extender based forcing from Assaf Sharon’s PhD thesis. We show there is a bad scale in the extension and therefore weak square fails. We also present two metatheorems which give a rough characterization of when a diagonal Prikry-type forcing forces the failure of weak square.

Keywords

Prikry forcingExtender based forcingweak square
Type
Articles
Information
The Journal of Symbolic Logic , Volume 81 , Issue 4 , December 2016 , pp. 1432 - 1443
Copyright
Copyright © The Association for Symbolic Logic 2016 

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References

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