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arXiv · 2501.17583

A quasianalytic class with weakly smooth germs

R. Guénet
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Abstract

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.

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R. Guénet. 2025-01-29. A quasianalytic class with weakly smooth germs. https://arxiv.org/abs/2501.17583

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