Number of strongly \(\aleph _{\epsilon}\)-saturated models - an addition
type: Item
instance of: scholarly article
title: Number of strongly \(\aleph _{\epsilon}\)-saturated models - an addition
zbMATH Open document ID: 0658.03019
DOI: 10.1016/0168-0072(88)90041-3
author: S. Shelah
published in: Annals of Pure and Applied Logic
publication date: 1988-01-01T00:00:00Z
review text: Improving his earlier result [Ann. Pure Appl. Logic 36, 279-287 (1987; Zbl 0643.03023)] the author proves that any unsuperstable theory T has \(2^{\lambda}\) pairwise non-isomorphic strongly \(\aleph_{\epsilon}\)- saturated models of power \(\lambda\), for every \(\lambda \geq \lambda (T)+\aleph_ 1\). Here \(\lambda\) (T) is the number of non-equivalent strong types over \(\emptyset\).
Mathematics Subject Classification ID: 03C45
Mathematics Subject Classification ID: 03C52
zbMATH DE Number: 4075031
zbMATH Keywords: superstable theory
zbMATH Keywords: strongly \(\aleph _{\epsilon }\)-saturated models
reviewed by: Oleg Belegradek
MaRDI profile type: Publication
full work available at URL: 0168-0072(88)90041-3
OpenAlex ID: W2045351433
cites work: Classification theory and the number of non-isomorphic models
cites work: On the number of strongly \(\aleph _{\epsilon}\)-saturated models of power \(\lambda\)
cites work: Q3778001
description: scientific article; zbMATH DE number 4075031