Geodesic
m-normal theories
Ludomir Newelski1
1 Mathematical Institute Wroc/law University 50-384 Wroc/law, Poland and Mathematical Institute Polish Academy of Sciences 51-617 Wroc/law, Poland
Fundamenta Mathematicae, Tome 170 (2001) no. 1, pp. 141-163.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Originally, m-independence, ${\cal M}$-rank, m-stability and m-normality were defined only for small stable theories. Here we extend the definitions to an arbitrary small countable complete theory. Then we investigate these notions in the new, broader context. As a consequence we show that any superstable theory with $2^{\aleph _0}$ countable models is m-normal. In particular, any $*$-algebraic group interpretable in such a theory is abelian-by-finite.
DOI : 10.4064/fm170-1-9
Keywords: originally m independence cal rank m stability m normality defined only small stable theories here extend definitions arbitrary small countable complete theory investigate these notions broader context consequence superstable theory aleph countable models m normal particular * algebraic group interpretable theory abelian by finite

Ludomir Newelski 1

1 Mathematical Institute Wroc/law University 50-384 Wroc/law, Poland and Mathematical Institute Polish Academy of Sciences 51-617 Wroc/law, Poland 
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Ludomir Newelski. m-normal theories. Fundamenta Mathematicae, Tome 170 (2001) no. 1, pp. 141-163. doi : 10.4064/fm170-1-9. http://geodesic.mathdoc.fr/articles/10.4064/fm170-1-9/

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