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Showing 1 to 2 of 2 for “"weakly Ramsey"”.
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Topological Ramsey Spaces, Associated Ultrafilters, and Their Applications to the Tukey Theory of Ultrafilters and Dedekind Cuts of Nonstandard Arithmetic
… namely, "for n < omega, are the notions of Ramsey for Rn and selective for Rn equivalent?" We show that for each n < omega, it is consistent with ZFC that there exists a selective for Rn ultrafilter which is not Ramsey for Rn.</p> <p>In the second part, we extend results of Blass concerning …
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Ramsey Algebras and Ramsey Spaces
… theorem using idempotent ultrafilters. We study Ramsey algebras, which are structures that satisfy an analogue of Hindman's theorem. We show the existence of idempotent ultrafilters for Ramsey algebras under Martin's axiom, and the existence of idempotent ultrafilters for Ramsey algebras on a …