Topology for computing

Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Preface; Acknowledgments; 1 Introduction; 2 Spaces and Filtrations; 3 Group Theory; 4 Homology; 5 Morse Theory; 6 New Results; 7 The Persistence Algorithms; 8 Topological Simplification; 9 The Morse-Smale Complex Algorithm; 10 The Linking Number Algorithm; 11 Software; 12 Experiments; 13 Applications; Bibliography; Index.