Stable embeddedness in algebraically closed valued fields

Hrushovski, E.; Tatarsky, A.

J. Symbolic Logic, Tome 71 (2006) no. 1, p. 831-862 / Harvested from Project Euclid

Résumé

We give some general criteria for the stable embeddedness of a definable set. We use these criteria to establish the stable embeddedness in algebraically closed valued fields of two definable sets: The set of balls of a given radius r < 1 contained in the valuation ring and the set of balls of a given multiplicative radius r < 1. We also show that in an algebraically closed valued field a 0-definable set is stably embedded if and only if its algebraic closure is stably embedded.

Publié le : 2006-09-14
Classification:

@article{1154698580,
     author = {Hrushovski, E. and Tatarsky, A.},
     title = {Stable embeddedness in algebraically closed valued fields},
     journal = {J. Symbolic Logic},
     volume = {71},
     number = {1},
     year = {2006},
     pages = { 831-862},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1154698580}
}

Hrushovski, E.; Tatarsky, A. Stable embeddedness in algebraically closed valued fields. J. Symbolic Logic, Tome 71 (2006) no. 1, pp.  831-862. http://gdmltest.u-ga.fr/item/1154698580/