Computing Persistent Homology - Introduction

Explore the fundamental concepts and intuition behind persistent homology computation in this 27-minute tutorial based on the seminal paper by Afra Zomorodian and Gunnar Carlsson. Delve into topics such as persistence modules, decomposition, zero and one-dimensional homology, and computational elements. Gain insights into practical experiments and applications in the field of applied algebraic topology. Access accompanying notes and fill-in-the-blank materials to enhance your understanding of this crucial topic in computational topology.

Introduction
Persistence modules
Decomposition
Zero dimensional homology
One dimensional homology
Computational elements
Experiments