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May 2, 2017 at 20:15 history edited Monroe Eskew CC BY-SA 3.0
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Apr 26, 2017 at 19:34 comment added Monroe Eskew @JingZhang, according to fact (4) (due to myself but not very hard), one cannot do this without further assumptions on $I$.
Apr 26, 2017 at 19:26 comment added Jing Zhang There exists a stationary set $S\subset [\omega_2]^\omega$ of size $\omega_2$ (in fact stronger, projectively stationary). Is it possible to get such set relative to the given ideal $I$ (sorry I have no access to references right now)?
Apr 26, 2017 at 19:21 history edited Monroe Eskew CC BY-SA 3.0
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Apr 26, 2017 at 19:09 history asked Monroe Eskew CC BY-SA 3.0