Algebraic approximation preserving dimension
Algebraic Geometry
2014-09-24 v1
Abstract
We prove that each semialgebraic subset of of positive codimension can be locally approximated of any order by means of an algebraic set of the same dimension. As a consequence of previous results, algebraic approximation preserving dimension holds also for semianalytic sets.
Cite
@article{arxiv.1409.6451,
title = {Algebraic approximation preserving dimension},
author = {Massimo Ferrarotti and Elisabetta Fortuna and Leslie Wilson},
journal= {arXiv preprint arXiv:1409.6451},
year = {2014}
}
Comments
10 pages, 1 figure