nLab Computational Topology, An Introduction

This page provides material related to the textbook

• Herbert Edelsbrunner, John L. Harer,

  Computational Topology, An Introduction

  American Mathematical Society, 2010.

  (241 pages)

  ISBN:978-0-8218-4925-5

  pdf

on computational topology.

Contents

• Preface

A. Computational Geometric Topology

I. Graphs

II. Surface

III Complexes

B. Computational Algebraic Topology

IV. Homology

V. Duality

VI. Morse Functions

C. Computational Persistent Topology

VII. Persistence

VIII. Stability

IX. Applications

• References

Index

(Each section is made up of four subsections.)

category: topology, applications, reference