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Apr 23, 2019 at 11:15 review Close votes
Apr 23, 2019 at 18:21
Jul 10, 2018 at 20:55 comment added Yair Hayut I think that it can at least fail in an MM model. Force with $Add(\omega_2, \omega_3)$ over a model of MM. This forcing will preserve MM but I think that the stationary set that the forcing is adding will not contain any continuous copy of $S^{\omega_2}_{\omega}$, by density arguments.
Jul 10, 2018 at 15:24 comment added Monroe Eskew @NotMike, good question.
Jul 10, 2018 at 15:10 comment added Not Mike Is it possible for this to fail in a model, where every stationary subset of $S^{\omega_3}_\omega$ contains a club of order-type $\omega_1$?
Jul 10, 2018 at 14:56 comment added Asaf Karagila Well, now it is.
Jul 10, 2018 at 14:55 comment added Monroe Eskew Käsekrainer on your mind?
Jul 10, 2018 at 14:53 comment added Asaf Karagila Mm... ${}{}{}{}$
Jul 10, 2018 at 10:04 history edited Monroe Eskew CC BY-SA 4.0
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Jul 10, 2018 at 8:21 history edited Monroe Eskew CC BY-SA 4.0
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Jul 10, 2018 at 6:21 history asked Monroe Eskew CC BY-SA 4.0