Geodesic
Preservation and violation of homogeneity of models under a special expansion
Matematičeskie trudy, Tome 12 (2009) no. 1, pp. 117-129 Cet article a éte moissonné depuis la source Math-Net.Ru

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Conditions are found under which homogeneity of a model $M$ implies homogeneity of the model $M^\mathrm{eq}$. One of these conditions is $\omega$-stability of the theory of $M$. Examples are constructed of superstable theories for which homogeneity is not preserved under such a passage. 
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K. Zh. Kudaibergenov. Preservation and violation of homogeneity of models under a special expansion. Matematičeskie trudy, Tome 12 (2009) no. 1, pp. 117-129. http://geodesic.mathdoc.fr/item/MT_2009_12_1_a3/

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