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How to show a set is not algebraic

Clint McCrory
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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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Clint McCrory. 2001-06-11. How to show a set is not algebraic. https://arxiv.org/abs/math/0106084

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