3 papers
math.FA2022
When is a Minkowski norm strictly sub-convex?
Stéphane Simon, Patrick Verovic
The aim of this paper is to give two complete and simple characterizations of Minkowski norms N on an arbitrary topological real vector space such that the sublevel sets of N are s…
math.FA2016
Functions with strictly convex epigraph
Stéphane Simon, Patrick Verovic
The aim of this paper is to provide a complete and simple characterization of functions with domain in a topological real vector space whose epigraph is strictly convex.
math.AT2009
A theorem of Poincaré-Hopf type
Stéphane Simon
We compute (algebraically) the Euler characteristic of a complex of sheaves with constructible cohomology. A stratified Poincaré-Hopf formula is then a consequence of the smooth Po…