如何证明一个集合不是代数的

Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science Pub Date : 2001-06-11 DOI:10.1090/dimacs/060/07

C. McCrory

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引用次数: 2

摘要

我们回顾了Akbulut和King的第一个紧半代数集的例子，它满足Sullivan的局部欧拉特征条件，但它不是代数集的同胚。利用可构造函数环上的链接算子计算非平凡障碍物。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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. A nontrivial obstruction is computed using the link operator on the ring of constructible functions.

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Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science

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