YoVDO

Persistent Homology for Infinite Complexes - Extending Theory to Infinite CW Complexes

Offered By: Applied Algebraic Topology Network via YouTube

Tags

Persistent Homology Courses Algebraic Topology Courses Topological Data Analysis Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the extension of persistent homology to infinite CW complexes in this 45-minute talk from the Applied Algebraic Topology Network. Delve into a theoretical framework that broadens the application of persistent homology beyond finite complexes. Discover how the Bottleneck Stability Theorem and the Algebraic Decomposition Theorem remain valid without finiteness assumptions. Gain insights into new possibilities for applying persistent homology in topological data analysis, opening up avenues for tackling a wider range of problems in the field.

Syllabus

Alexander McCleary (10/02/24): Persistent Homology for Infinite Complexes


Taught by

Applied Algebraic Topology Network

Related Courses

Persistence Diagram Bundles- A Multidimensional Generalization of Vineyards
Applied Algebraic Topology Network via YouTube The Persistence Mayer-Vietoris Spectral Sequence
Applied Algebraic Topology Network via YouTube Edit Distance and Persistence Diagrams Over Lattices
Applied Algebraic Topology Network via YouTube An Introduction to Persistent Homology
Applied Algebraic Topology Network via YouTube Generalized Morse Theory of Distance Functions to Surfaces for Persistent Homology
Applied Algebraic Topology Network via YouTube