Time: 17:45-19:45, December 5, 2025

Venue: E4-201

Speaker: Dr. Talimdjioski Filip

Title:   Lipschitz-free spaces over Cantor sets and approximation properties

Abstract:  We will survey known results about approximation properties of Lipschitz-free spaces and illustrate a common technique for proving such results. We will then consider the set M of all metrics on the Cantor set K compatible with its topology, where M is equipped with a natural topology, under which M is a Polish space. We will show that the subset A of metrics d in M for which the free space F(K,d) has the metric approximation property is residual in M.