nLab convex cone

A subset $C$ of a vector space $V$ is a convex cone if $a x + b y$ belongs to $C$, for any positive scalars $a, b$, and any $x, y$ in $C$.

A convex cone is therefore a cone which is a convex space.

Created on April 25, 2013 at 13:22:32. See the history of this page for a list of all contributions to it.