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Timeline for Suslin algebras

Current License: CC BY-SA 3.0

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Dec 8, 2012 at 1:21 comment added Monroe Eskew Francois, could you elaborate on your thoughts about (1)?
Dec 4, 2012 at 6:25 vote accept Monroe Eskew
Dec 3, 2012 at 6:07 comment added François G. Dorais Preliminary thoughts on (1) and (2)... The answer to (1) ought to be yes but the way to get there is not necessarily the obvious one. For (2), Jensen's construction depends heavily on $\square_{\omega_1}$ in order to "iterate" Souslin trees for length $\omega_2$; I don't think it's known whether such additional devices are necessary. Also, Jensen's construction uses a preparatory step that preserves $\diamondsuit_{\omega_1}$ but kills $\diamondsuit_{\omega_1}^*$; it is an open problem whether that step is necessary.
Dec 3, 2012 at 5:58 history answered François G. Dorais CC BY-SA 3.0