|
Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 699–707
(Mi semr140)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
Research papers
Stable theories of Frechet-powers
E. A. Palyutin Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract:
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.
Received December 23, 2008, published December 28, 2008
Citation:
E. A. Palyutin, “Stable theories of Frechet-powers”, Sib. Èlektron. Mat. Izv., 5 (2008), 699–707
Linking options:
https://www.mathnet.ru/eng/semr140 https://www.mathnet.ru/eng/semr/v5/p699
|
Statistics & downloads: |
Abstract page: | 156 | Full-text PDF : | 63 | References: | 29 |
|