Generalizing the Interleaving Distance Using Categorical Flows

Learn about categorical flows and their role in extending interleaving distance measurements in this 11-minute video from the Applied Algebraic Topology Network. Explore how interleaving distance, a fundamental concept in algebraic topology and topological data analysis for measuring similarity between persistence modules, can be generalized through functorial operations to measure objects across various categories. Follow along with a practical example that demonstrates how categorical flows enable this broader application of interleaving distance concepts.