Alberto Bressan
Abstract
We provide an example of two closed sets $S_1,S_2\subset\R^4$ such that $S_1\cap S_2=\{0\}$. Yet, at the origin, a Boltyanskii tangent cone $C_1$ to $S_1$ and the Clarke tangent cone $C_2$ to $S_2$ are strongly transversal. This settles a question originally proposed by H. Sussmann.
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We provide an example of two closed sets $S_1,S_2\subset\R^4$ such that $S_1\cap S_2=\{0\}$. Yet, at the origin, a Boltyanskii tangent cone $C_1$ to $S_1$ and the Clarke tangent cone $C_2$ to $S_2$ are strongly transversal. This settles a question originally proposed by H. Sussmann.
Key concepts: Tangent cone, Cone (formal languages), Mathematics, Intersection (aeronautics), Dual cone and polar cone, Transversal (combinatorics), Tangent, Tangent bundle