Persistence theory : from quiver representations to data analysis /
viii, 218 p. : illustrations (some color) ; 26 cm. - (Mathematical surveys and monographs ; v 209.) Content notes : Part 1. Theoretical foundations:
1. Algebraic persistence --
2. Topological persistence --
3. Stability --
Part 2. Applications:
4. Topological inference --
5. Topological inference 2.0 --
6. Clustering --
7. Signatures for metric spaces --
Part 3. Perspectives:
8. New trends in topological data analysis --
9. Further prospects on the theory --
Appendix A. Introduction to quiver theory with a view toward persistence --
Bibliography --
List of figures --
Index. Homology theory.
