# Sh:632

- Hyttinen, T., & Shelah, S. (1998).
*On the number of elementary submodels of an unsuperstable homogeneous structure*. MLQ Math. Log. Q.,**44**(3), 354–358. arXiv: math/9702228 DOI: 10.1002/malq.19980440307 MR: 1645490 -
Abstract:

We show that if M is a stable unsuperstable homogeneous structure, then for most \kappa< |M|, the number of elementary submodels of M of power \kappa is 2^\kappa. - Version 1997-02-11_10 (5p) published version (5p)

Bib entry

@article{Sh:632, author = {Hyttinen, Tapani and Shelah, Saharon}, title = {{On the number of elementary submodels of an unsuperstable homogeneous structure}}, journal = {MLQ Math. Log. Q.}, fjournal = {MLQ. Mathematical Logic Quarterly}, volume = {44}, number = {3}, year = {1998}, pages = {354--358}, issn = {0942-5616}, mrnumber = {1645490}, mrclass = {03C45}, doi = {10.1002/malq.19980440307}, note = {\href{https://arxiv.org/abs/math/9702228}{arXiv: math/9702228}}, arxiv_number = {math/9702228} }