Talk Title: Künneth Formulae in Persistent Homology

Event: Knots in Washington XLVII

Where: Department of Mathematics, George Washington University, Washington D.C.

Date: January 21, 2019

Abstract: In topology, Künneth theorem gives a relationship between the homology of the product space and that of the factor spaces. We show similar theorems for persistent homology. That is, for two different notions of product filtrations, we give relationships between the persistent homology of the product filtration(s) and that of the factor filtered spaces.