On homogeneous models of some weakly minimal theories
type: Item
instance of: scholarly article
title: On homogeneous models of some weakly minimal theories
zbMATH Open document ID: 0956.03037
published in: Siberian Mathematical Journal
publication date: 2001-02-12T00:00:00Z
review text: Weakly minimal theories are considered. For a unidimensional weakly minimal theory \(T\), it is proven that every \(\omega\)-homogeneous \(T\)-model of power greater than \(\lambda(T)\) is homogeneous. Every resplendent model of a weakly minimal theory in a countable recursively presented language is proven to be homogeneous. The spectrum functions for homogeneous and resplendent models of countable weakly minimal theories are calculated.
Mathematics Subject Classification ID: 03C45
Mathematics Subject Classification ID: 03C50
zbMATH DE Number: 1563989
zbMATH Keywords: weakly minimal theory
zbMATH Keywords: unidimensional theory
zbMATH Keywords: homogeneous model
zbMATH Keywords: resplendent model
author: K. Zh. Kudajbergenov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1563989