How to show a set is not algebraic

Details How to show a set is not algebraic How to show a set is not algebraic

2001-06-11

arxiv.org/abs/math/0106084v1

Algorithmic and Quantitative Real Algebraic Geometry (S. Basu and L. Gonzalez-Vega, eds.), DIMACS Series, vol. 60, Amer. Math.

Mathematics

Algebraic Geometry

5 pages. Talk at DIMACS workshop on real algebraic geometry, March 12-16, 2001

Scientific paper

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.

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