Group configurations and germs in simple theories

Ben-Yaacov, Itay

J. Symbolic Logic, Tome 67 (2002) no. 1, p. 1581-1600 / Harvested from Project Euclid

Résumé

We develop the theory of germs of generic functions in simple theories. Starting with an algebraic quadrangle (or other similar hypotheses), we obtain an “almost” generic group chunk, where the product is defined up to a bounded number of possible values. This is the first step towards the proof of the group configuration theorem for simple theories, which is completed in "Constructing an almost-hyperdefinable group."

Publié le : 2002-12-14
Classification: 03C45

@article{1190150301,
     author = {Ben-Yaacov, Itay},
     title = {Group configurations and germs in simple theories},
     journal = {J. Symbolic Logic},
     volume = {67},
     number = {1},
     year = {2002},
     pages = { 1581-1600},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1190150301}
}

Ben-Yaacov, Itay. Group configurations and germs in simple theories. J. Symbolic Logic, Tome 67 (2002) no. 1, pp.  1581-1600. http://gdmltest.u-ga.fr/item/1190150301/