Dual cone and polar cone: Difference between revisions

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*If ''C'' has nonempty interior, then ''C*'' is ''pointed'', i.e. ''C*'' contains no line in its entirety.
*If ''C'' is a cone and the closure of ''C'' is pointed, then ''C*'' has nonempty interior.
*''C**'' is the closure of the smallest convex cone containing ''C'' (a consequence of the [[hyperplane separation theorem]])
 
==Self-dual cones==