Geodesic
Stable theories of Frechet-powers
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 699-707

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Elementary theories of Frechet-powers $A^F$ of structures $A$ are investigated. We put a special emphasis on the study of such theories under the condition of stability as well as on constructions of their models containing a given sets $X$ which are minimal in the sense that, the dimensions of independent sets represented in $X$ do not increase. The basis results of the paper are the characterization of forking (Theorem 2) and a theorem on preservation of dimension in $\lambda$-positive envelopes (Theorem 3).
Keywords: model theory, elementary theories, stability. 
@article{SEMR_2008_5_a33,
     author = {E. A. Palyutin},
     title = {Stable theories of {Frechet-powers}},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {699--707},
     publisher = {mathdoc},
     volume = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2008_5_a33/}
}
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E. A. Palyutin. Stable theories of Frechet-powers. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 699-707. http://geodesic.mathdoc.fr/item/SEMR_2008_5_a33/