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- W1493806114 abstract "We study the theory of the structure induced by parameter free formulas on a “dense” algebraically independent subset of a model of a geometric theory T . We show that while being a trivial geometric theory, inherits most of the model theoretic complexity of T related to stability, simplicity, rosiness, the NIP and the NTP 2 . In particular, we show that T is strongly minimal, supersimple of SU‐rank 1, has the NIP or the NTP 2 exactly when has these properties. We show that if T is superrosy of thorn rank 1, then so is , and that the converse holds if T satisfies acl = dcl." @default.
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- W1493806114 date "2014-08-01" @default.
- W1493806114 modified "2023-10-05" @default.
- W1493806114 title "Generic trivializations of geometric theories" @default.
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- W1493806114 doi "https://doi.org/10.1002/malq.201300030" @default.
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