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Jan 27, 2011 at 10:21 comment added François G. Dorais I haven't looked at RC lower bounds for a while. Since RC implies CC, one lower bound is that of an $\omega_1$-Erdos cardinal, but this is surely very crude.
Jan 27, 2011 at 8:52 comment added Amit Kumar Gupta Thanks! You mention in your paper that GC for finite dimensional posets is equivalent to RC, and that a supercompact cardinal gives an upper bound on the consistency strength of RC. Do you know of a lower bound? I think Todorcevic mentioned that RC implies the failure of square everywhere, but what about a lower bound in terms of large cardinals? (related question: mathoverflow.net/questions/53467/…)
Jan 27, 2011 at 8:23 vote accept Amit Kumar Gupta
Jan 25, 2011 at 10:25 history answered François G. Dorais CC BY-SA 2.5