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How to show a set is not algebraic · arXivDesk

math/0106084Jun 11, 20015 pages. Talk at DIMACS workshop on real algebraic geometry, March 12-16, 2001

How to show a set is not algebraic

Clint McCrory

Algebraic Geometry

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.

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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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The paper addresses: How to show a set is not algebraic.
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.

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

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