Globally subanalytic arc-symmetric sets
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866911452443443200 |
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| author | Adamus, Janusz |
| author_facet | Adamus, Janusz |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_13482 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Globally subanalytic arc-symmetric sets Adamus, Janusz Complex Variables 32B20, 14P15, 14E15, 32C40 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. |
| title | Globally subanalytic arc-symmetric sets |
| topic | Complex Variables 32B20, 14P15, 14E15, 32C40 |
| url | https://arxiv.org/abs/2305.13482 |