Dimension theory and parameterized normalization for D-semianalytic sets over non-Archimedean fields

Çelikler, Y. Firat

J. Symbolic Logic, Tome 70 (2005) no. 1, p. 593-618 / Harvested from Project Euclid

Résumé

We develop a dimension theory for D-semianalytic sets over an arbitrary non-Archimedean complete field. Our main results are the equivalence of several notions of dimension and a theorem on additivity of dimensions of projections and fibers in characteristic 0. We also prove a parameterized version of normalization for D-semianalytic sets.

Publié le : 2005-06-14
Classification: 32B20, 03C10, 12J25

@article{1120224730,
     author = {\c Celikler, Y. Firat},
     title = {Dimension theory and parameterized normalization for D-semianalytic sets over non-Archimedean fields},
     journal = {J. Symbolic Logic},
     volume = {70},
     number = {1},
     year = {2005},
     pages = { 593-618},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1120224730}
}

Çelikler, Y. Firat. Dimension theory and parameterized normalization for D-semianalytic sets over non-Archimedean fields. J. Symbolic Logic, Tome 70 (2005) no. 1, pp.  593-618. http://gdmltest.u-ga.fr/item/1120224730/