O. L. Gal

collaborators

3 papers

math.LO2020

Powers are easy to avoid

Gareth Jones, Olivier Le Gal

Suppose that $R$ is an o-minimal expansion of the real field in which restricted power functions are definable. We show that if $R$ is both a…

math.AG2020

Limits of tangent spaces to definable sets

Si Tiep Dinh, Olivier Le Gal, Tien Son Pham

We study the set of tangent limits at a given point to a set definable in any o-minimal structure by characterizing the set of exceptional rays in the tangent cone to the set at th…

math.GT2017

Tangent cones and $C^{1}$ regularity of definable sets

Krzysztof Kurdyka, Olivier Le Gal, Nhan Nguyen

Let $X \subset R^{n}$ be a connected locally closed definable set in an o-minimal structure. We prove that the following three statements are equivalent: (i) $X$ is a $C^{1}$ ma…

Powers are easy to avoid

Limits of tangent spaces to definable sets

Tangent cones and C1 regularity of definable sets

Tangent cones and $C^{1}$ regularity of definable sets