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Timeline for Linear orders with only short cuts

Current License: CC BY-SA 3.0

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Oct 1, 2011 at 7:11 vote accept nick
Sep 30, 2011 at 23:10 comment added nick Yes, this is a convincing counterexample. On a second reading, I realized that I misinterpreted the question. The point is not that the only cuts have countable cofinality, but that all cuts with cofinality $(\lambda, \kappa)$ with $\lambda$ and $\kappa$ uncountable actually have cofinality &(\lambda, \lambda)& - that is, all cuts with uncountable cofinality have the same cofinality in the lower cut and in the upper cut with the reverse order.
Sep 30, 2011 at 23:07 vote accept nick
Oct 1, 2011 at 7:11
Sep 29, 2011 at 23:32 comment added François G. Dorais But this is not a "proper" cut if the $\omega_1$ sequence has a supremum in $I$.
Sep 29, 2011 at 22:53 history edited Ramiro de la Vega CC BY-SA 3.0
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Sep 29, 2011 at 22:47 history answered Ramiro de la Vega CC BY-SA 3.0