Computational and applied topology, tutorial

TL;DR

This tutorial introduces applied and computational topology and topological data analysis, demonstrating concepts through computational examples using the Gudhi library, and is continuously evolving.

Contribution

It provides an accessible introduction with practical examples to computational topology and TDA, utilizing the Gudhi library for implementation.

Findings

Practical demonstrations of topological data analysis techniques.

Use of Gudhi library for computational topology tasks.

Ongoing development of tutorial content.

Abstract

This is a tutorial in applied and computational topology and topological data analysis. It is illustrated with numerous computational examples that utilize Gudhi library. It is under constant development, so please do not consider this version as final.