| Résume | This talk is based on my master's thesis which was supervised by Tamara Servi.
Quasianalytic classes are classes of functions that behave like analytic functions. Since work of Rolin, Speissegger and Wilkie in 2003, it has been known that such classes generate o-minimal structures. Furthermore, all such structures have a property known as smooth cell-decomposition. In this talk, we weaken the hypotheses on quasianalytic classes to allow weakly smooth germs in order to obtain o-minimal structures without smooth cell-decomposition.
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