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Selective ultrafilters and |
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| Authors: | Todd Eisworth |
| Affiliation: | Institute of Mathematics, The Hebrew Univeristy, Jerusalem, Israel |
| Abstract: | Mathias (Happy families, Ann. Math. Logic. 12 (1977), 59-111) proved that, assuming the existence of a Mahlo cardinal, it is consistent that CH holds and every set of reals in  is  -Ramsey with respect to every selective ultrafilter  . In this paper, we show that the large cardinal assumption cannot be weakened. |
| Keywords: | Selective ultrafilters Ramsey's theorem Mahlo cardinals |
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