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  1. All Uncountable Cardinals in the Gitik Model Are Almost Ramsey and Carry Rowbottom Filters.Arthur W. Apter, Ioanna M. Dimitriou & Peter Koepke - 2016 - Mathematical Logic Quarterly 62 (3):225-231.
    Using the analysis developed in our earlier paper, we show that every uncountable cardinal in Gitik's model of in which all uncountable cardinals are singular is almost Ramsey and is also a Rowbottom cardinal carrying a Rowbottom filter. We assume that the model of is constructed from a proper class of strongly compact cardinals, each of which is a limit of measurable cardinals. Our work consequently reduces the best previously known upper bound in consistency strength for the theory math formula (...)
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