Convex Polytope
# Definition
Let $V$ be an Inner Product Space over $\mathbb{R}$. $P \subset V$ is a Convex Polytope if there exist Closed Halfspaces $H_{1}, \dots, H_{n}$ for $n \in \mathbb{N}$ so that $$P = \bigcap\limits_{i = 1}^{n} H_{i}$$
Search
Let $V$ be an Inner Product Space over $\mathbb{R}$. $P \subset V$ is a Convex Polytope if there exist Closed Halfspaces $H_{1}, \dots, H_{n}$ for $n \in \mathbb{N}$ so that $$P = \bigcap\limits_{i = 1}^{n} H_{i}$$