Improper Face
# Definition
Let $V$ be an Inner Product Space over $\mathbb{R}$ and let $P \subset V$ be a Convex Polytope. An Improper Face of $P$ is a face of $P$ that is not a Proper Face. That is, the face is $P$ or $\emptyset$.
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Let $V$ be an Inner Product Space over $\mathbb{R}$ and let $P \subset V$ be a Convex Polytope. An Improper Face of $P$ is a face of $P$ that is not a Proper Face. That is, the face is $P$ or $\emptyset$.