Preservation and violation of homogeneity of models under a special expansion

2009

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DOI 10.3103/s105513440904004x
Data confidence 70 medium
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Abstract

Conditions are found under which homogeneity of a model M implies homogeneity of the modelM eq. One of these conditions is ω-stability of the theory of M. Examples are constructed of superstable theories for which homogeneity is not preserved under such a passage.