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CM-triviality and relational structures

✍ Scribed by Viktor Verbovskiy; Ikuo Yoneda

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
218 KB
Volume
122
Category
Article
ISSN
0168-0072

No coin nor oath required. For personal study only.

✦ Synopsis

Continuing work of

Baldwin and Shi (Ann. Pure Appl. Logic 79 (1996)

1), we study non-!-saturated generic structures of the ab initio Hrushovski construction with amalgamation over closed sets. We show that they are CM-trivial with weak elimination of imaginaries. Our main tool is a new characterization of non-forking in these theories.

πŸ“œ SIMILAR VOLUMES

Mekler's construction preserves CM-trivi
Mekler's construction preserves CM-triviality
✍ Andreas Baudisch πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 468 KB

For every structure M of ΓΏnite signature Mekler (J. Symbolic Logic 46 (1981) 781) has constructed a group G such that for every Γ„ the maximal number of n-types over an elementary equivalent model of cardinality Γ„ is the same for M and G. These groups are nilpotent of class 2 and of exponent p, where