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Ramsey for ultrafilter mappings and their Dedekind cuts

Ramsey for ultrafilter mappings and their Dedekind cuts

Associated to each ultrafilter on ω and each map is a Dedekind cut in the ultrapower . Blass has characterized, under , the cuts obtainable when is taken to be either a p‐point ultrafilter, a weakly‐Ramsey ultrafilter or a Ramsey ultrafilter. Dobrinen and Todorčević have introduced the topological Ramsey space …