Depth of Boolean Algebras

by Garti and Shelah. [GaSh:911]
Notre Dame J Formal Logic, 2011
We show under the assumption {V} = {L} that the Depth of an ultraproduct of Boolean Algebras cannot jump over the Depth of every component by more than one cardinal. This is done for every cardinal. We also get better results for singular cardinals with countable cofinality.


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