How to show a set is not algebraic
Algebraic Geometry
2012-02-15 v1
Abstract
We revisit Akbulut and King's first example of a compact semialgebraic set which satisfies Sullivan's local Euler characteristic condition, but which is not homeomorphic to an algebraic set. A nontrivial obstruction is computed using the link operator on the ring of constructible functions.
Keywords
Cite
@article{arxiv.math/0106084,
title = {How to show a set is not algebraic},
author = {Clint McCrory},
journal= {arXiv preprint arXiv:math/0106084},
year = {2012}
}
Comments
5 pages. Talk at DIMACS workshop on real algebraic geometry, March 12-16, 2001