Preservation and violation of homogeneity of models under a~special expansion
Matematičeskie trudy, Tome 12 (2009) no. 1, pp. 117-129

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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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     author = {K. Zh. Kudaibergenov},
     title = {Preservation and violation of homogeneity of models under a~special expansion},
     journal = {Matemati\v{c}eskie trudy},
     pages = {117--129},
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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/