# Sh:1075

- Golshani, M., & Shelah, S. (2016).
*On cuts in ultraproducts of linear orders I*. J. Math. Log.,**16**(2), 1650008, 34. arXiv: 1510.06278 DOI: 10.1142/S0219061316500082 MR: 3580893 -
Abstract:

For an ultrafilter D on cardinal \kappa, we wonder for which pair (\theta_1, \theta_2) of regular cardinals, we have: for any (\theta_1 + \theta_2)^+-saturated dense linear order J,J^\kappa/D has a cut of cofinality (\theta_1, \theta_2). We deal mainly with the case \theta_1, \theta_2 > 2^\kappa. - published version (34p)

Bib entry

@article{Sh:1075, author = {Golshani, Mohammad and Shelah, Saharon}, title = {{On cuts in ultraproducts of linear orders I}}, journal = {J. Math. Log.}, fjournal = {Journal of Mathematical Logic}, volume = {16}, number = {2}, year = {2016}, pages = {1650008, 34}, issn = {0219-0613}, doi = {10.1142/S0219061316500082}, mrclass = {03E04 (03C20 03E35 03E45 03E55)}, mrnumber = {3580893}, mrreviewer = {Shimon Garti}, doi = {10.1142/S0219061316500082}, note = {\href{https://arxiv.org/abs/1510.06278}{arXiv: 1510.06278}}, arxiv_number = {1510.06278} }