Exponential topologies
Channel: John Terilla's Topology Videos
Date: 06/11/2022

Given two topological spaces X and Y, you can consider the set Top(X,Y) of continuous functions from X to Y.  You might like to put a topology on Top(X,Y) making it a topological space, not just a set.  Exponential topologies are particularly nice topologies on the set Top(X,Y).  In this video, I talk about exponential topologies and prove that when they exist, they are unique.