Persistent Homology

Overview

This Jupyter Notebook offers an accessible and visual, step-by-step guide to the abstract definition and construction of homology.

Homology is a powerful tool in both pure mathematics and Topological Data Analysis. The notebook also includes practical examples and Python applications.

This material was created for my presentation at the Knowledge Sharing Seminar for the AMBION research group, where I am a member. It was also designed for use in future presentations on the topic.

In order to use

Create a new anaconda enviroment

conda create -y -n persistent_homology -c conda-forge python=3.11
conda activate persistent_homology

Clone the repository

git clone https://github.com/JairMathAI/Understanding_Persistent_Homology.git
cd Understanding_Persistent_Homology

Install requirements

pip install -r requirements.txt

Run Jupyter Lab and now you can use the Persistent_Homology.ipynb

jupyter lab