The copolarity of pseudo-cones

TL;DR

This paper explores the copolarity of pseudo-cones, demonstrating that it shares similar properties with the classical polarity concept in convex geometry.

Contribution

It introduces the concept of copolarity for pseudo-cones and establishes its properties analogous to convex body polarity.

Findings

Copolarity of pseudo-cones exhibits properties similar to convex polarity.

Theoretical framework connecting pseudo-cones and convex polarity.

Potential applications in convex analysis and geometry.

Abstract

We show that the copolarity of pseudo-cones has analogous properties as the usual polarity of convex bodies.