Persistence modules and the interleaving distance

Tane Vergili (Karadeniz Technical University)

11-Oct-2021, 12:30-13:30 (2 years ago)

Abstract: In topological data analysis, a persistence module is obtained with applying homology with coefficients in some fixed field to the increasing family of topological spaces or complexes. The distance between two persistence modules can be measured with the interleaving metric. The collection of persistence modules with the interleaving metric fails to be a topological space since it is not a set but a class. For this, one can restrict oneself to the identified sets together with the topology induced by the interleaving distance in order to study their basic topological properties. In this talk we are going to discuss persistence modules, the interleaving distance and the topological properties of the considered sets of persistence modules induced by the interleaving distance.

algebraic topologycategory theorygroup theoryK-theory and homology

Audience: researchers in the topic


Cihan Okay

Series comments: Contact the organizer to get access to Zoom.

Recordings of talks available at www.youtube.com/channel/UCLrmyGpqxyeVpTcA1b5HcMw/videos

Organizer: Cihan Okay*
*contact for this listing

Export talk to