A quasianalytic class with weakly smooth germs
Logic
2025-02-28 v2
Abstract
In [O. Le Gal, J.-P. Rolin. An o-minimal structure which does not admit 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.
Cite
@article{arxiv.2501.17583,
title = {A quasianalytic class with weakly smooth germs},
author = {R. Guénet},
journal= {arXiv preprint arXiv:2501.17583},
year = {2025}
}
Comments
36 pages; changed the height of admissible trees to be an ordinal instead of an integer in Definition 3.4