Dimension theory and parameterized normalization for D-semianalytic sets over non-Archimedean fields
Logic
2007-05-23 v2
Abstract
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.
Cite
@article{arxiv.math/0409109,
title = {Dimension theory and parameterized normalization for D-semianalytic sets over non-Archimedean fields},
author = {Y. Firat Celikler},
journal= {arXiv preprint arXiv:math/0409109},
year = {2007}
}
Comments
27 pages