The Cosmic Hausdorff Topology, the Bounded Hausdorff Topology and Continuity of Polarity
The Cosmic Hausdorff Topology, the Bounded Hausdorff Topology and Continuity of Polarity
We give geometric proofs of recent results of G. Beer [13]: the Young-Fenchel correspondence $f \to {f^*}$ is bicontinuous on the space of closed proper convex functions on a normed vector space $X$ endowed with the epidistance topology and the polarity operation is continuous on the space of closed convex …