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arXiv · 2305.13482

Globally subanalytic arc-symmetric sets

Janusz Adamus
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Abstract

It is shown that every C-semianalytic arc-symmetric set can be realized as the zero locus of an arc-analytic function. As a consequence, a Nash globally subanalytic arc-symmetric set is the zero locus of a continuous globally-subanalytic function which is arc-analytic outside a simple normal crossings divisor.

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Janusz Adamus. 2023-05-22. Globally subanalytic arc-symmetric sets. https://arxiv.org/abs/2305.13482

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