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WEAK SQUARES AND VERY GOOD SCALES

Published online by Cambridge University Press:  30 January 2018

MAXWELL LEVINE
MAXWELL LEVINE*
Affiliation:
KURT GÖDEL RESEARCH CENTER UNIVERSITY OF VIENNA VIENNA, AUSTRIAE-mail:maxwell.levine@univie.ac.at
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Abstract

We assume the existence of a supercompact cardinal and produce a model with weak square but no very good scale at a particular cardinal. This follows work of Cummings, Foreman, and Magidor, but uses a different approach. We produce another model, starting from countably many supercompact cardinals, where □K,<K holds but □K, λ fails for λ < K.

Keywords

03E3503E55large cardinalsforcing
Type
Articles
Information
The Journal of Symbolic Logic , Volume 83 , Issue 1 , March 2018 , pp. 1 - 12
Copyright
Copyright © The Association for Symbolic Logic 2018 

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References

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