In this chapter we state some pivotal theorems for our purposes. The first establishes the connection between extremality, pointedness of the tangent cone, support, and conical support. Thereafter we tackle the issue of characterizing the closure of a pointed cone.

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Extreme Points, Tangent and Normal Cones, Support, and Closure of Convex Pointed Cones

  • Paolo d’Alessandro

摘要

In this chapter we state some pivotal theorems for our purposes. The first establishes the connection between extremality, pointedness of the tangent cone, support, and conical support. Thereafter we tackle the issue of characterizing the closure of a pointed cone.