On countable simple unidimensional theories
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by Anand Pillay
http://www.math.uiuc.edu/People/pillay/unidimensional1.pdf
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Abstract:
We prove that any countable simple unidimensional theory T is supersimple, under the additional assumptions that T eliminates hyperimaginaries and that the Dφ-ranks are finite and definable. 1 Introduction and
Citations
| 47 | Geometric Stability Theory – Pillay - 1996 |
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| 22 | Simple theories – Wagner - 2000 |
| 12 | Paires de structures stables – Poizat - 1983 |
| 7 | Unidimensional theories are superstable – Hrushovski - 1990 |
| 2 | Coordinatization by binding groups and unidimensionality in simple theories, preprint 2002 – Shami |
| 1 | Lovely pairs of models, submitted – Ben-Yaacov, Pillay, et al. |
| 1 | Countable stable unidimensional theories are superstable – Hrushovski - 1985 |
| 1 | On Kueker simple theories, preprint – Shami - 2003 |
