### On cuts in ultraproducts on linear orders II

by Golshani and Shelah. [GsSh:1087]

J Symbolic Logic, 2018

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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