A quasianalytic class with weakly smooth germs

2025/01/29 by Rémi Guénet, Guénet, R.
Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2501.17583

openalex publication_date 2025/01/29 · openalex created_date 2025/01/31 · openalex updated_date 2026/07/30

Abstract

In [O. Le Gal, J.-P. Rolin. An o-minimal structure which does not admit C^∞ 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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