On cuts in ultraproducts on linear orders II

by Golshani and Shelah. [GsSh:1087]

We continue our study of the class {C}(D), where D is a uniform ultrafilter on a cardinal kappa and {C}(D) is the class of all pairs (theta_1, theta_2), where (theta_1, theta_2) is the cofinality of a cut in J^kappa /D and J is some (theta_1 + theta_2)^+-saturated dense linear order. We show that if (theta_1, theta_2) in {C} (D) and D is aleph_1-complete or theta_1 + theta_2 > 2^kappa, then theta_1 = theta_2 .

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