Double direction of a convex set and double recession space

Dependencies:

1. Convex set

$d$ is called a double direction of a convex set $S$ iff $\forall x \in S$, $\{x + \lambda d: \lambda \in \mathbb{R}\} \subseteq S$.

Let $D$ be the set of double directions of $S$. Then $D$ is called the double recession space of $S$.

Dependency for:

1. Double directions of a polyhedron (incomplete)

Info:

• Depth: 6
• Number of transitive dependencies: 6

Transitive dependencies:

1. Group
2. Ring
3. Field
4. Vector Space
5. Convex combination and convex hull
6. Convex set