# Sh:1048

• Shelah, S. Hanf number for the strictly stable cases. Mathematical Logic Quarterly. To appear. arXiv: 1412.0428
• Abstract:
Suppose \mathbf {t} = (T, T_1, p) is a triple of two theories in vocabularies \tau \subset \tau_1 of cardinality \lambda and a \tau_1-type p over the empty set: here we fix T and assume it is stable. We show the Hanf number for the property: “there is a model M_1 of T_1 which omits p, but M_1\restriction \tau is saturated" is larger than the Hanf number of L_{\lambda^+, \kappa} but smaller than the Hanf number of L_{(2^\lambda)^+, \kappa} when T is stable with \kappa = \kappa(T).
• Current version: 2019-10-28_11 (25p)
Bib entry
@article{Sh:1048,
author = {Shelah, Saharon},
title = {{Hanf number for the strictly stable cases}},
journal = {Mathematical Logic Quarterly},
year = {to appear},
note = {\href{https://arxiv.org/abs/1412.0428}{arXiv: 1412.0428}},
arxiv_number = {1412.0428}
}