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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.17583 |
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| _version_ | 1866917938548703232 |
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| author | Guénet, R. |
| author_facet | Guénet, R. |
| contents | In [O. Le Gal, J.-P. Rolin. An o-minimal structure which does not admit $C^\infty$ cellular decomposition. In: Ann. Inst. Fourier 59 (2009), pp 543-562], the authors construct an o-minimal structure which does not admit smooth cell-decomposition. We explain in an appendix that their proof of o-minimality is incomplete and we give a complete proof in the main text. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17583 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A quasianalytic class with weakly smooth germs Guénet, R. Logic In [O. Le Gal, J.-P. Rolin. An o-minimal structure which does not admit $C^\infty$ cellular decomposition. In: Ann. Inst. Fourier 59 (2009), pp 543-562], the authors construct an o-minimal structure which does not admit smooth cell-decomposition. We explain in an appendix that their proof of o-minimality is incomplete and we give a complete proof in the main text. |
| title | A quasianalytic class with weakly smooth germs |
| topic | Logic |
| url | https://arxiv.org/abs/2501.17583 |