# Sh:1048

- Shelah, S. (2020).
*The Hanf number in the strictly stable case*. MLQ Math. Log. Q.,**66**(3), 280–294. arXiv: 1412.0428 DOI: 10.1002/malq.201900021 MR: 4174105 -
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). - Version 2019-10-28_12 (25p) published version (15p)

Bib entry

@article{Sh:1048, author = {Shelah, Saharon}, title = {{The Hanf number in the strictly stable case}}, journal = {MLQ Math. Log. Q.}, fjournal = {MLQ. Mathematical Logic Quarterly}, volume = {66}, number = {3}, year = {2020}, pages = {280--294}, issn = {0942-5616}, mrnumber = {4174105}, mrclass = {03C75 (03C45 03C50 03C55)}, doi = {10.1002/malq.201900021}, note = {\href{https://arxiv.org/abs/1412.0428}{arXiv: 1412.0428}}, arxiv_number = {1412.0428} }