The Persistence Space in Multidimensional Persistent Homology

2013/01/01 by Andrea Cerri, Claudia Landi · 13 citations
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Algorithm #Betti number #Cell Image Analysis Techniques #Computer science #Diagram #Function space #Generalization #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Persistence (discontinuity) #Persistent data structure #Persistent homology #Pure mathematics #Representation (politics) #Space (punctuation) #Topological and Geometric Data Analysis #Topological data analysis

paper · open access · doi:10.1007/978-3-642-37067-0_16

published in Lecture Notes in Computer Science, 180-191 (Springer Berlin Heidelberg)

crossref issued 2013/01/01 · crossref published 2013/01/01 · crossref published-print 2013/01/01 · openalex publication_date 2013/01/01 · crossref created 2013/03/16 · crossref deposited 2025/04/30 · openalex created_date 2025/10/10 · crossref indexed 2025/10/14 · openalex updated_date 2026/08/04

Citations

• Stability of persistence spaces of vector-valued continuous functions
• Betti numbers in multidimensional persistent homology are stable functions
• Stability of Persistence Diagrams
• Content-based image retrieval at the end of the early years
• Finiteness of rank invariants of multidimensional persistent homology groups
• Topological Persistence and Simplification
• The Theory of Multidimensional Persistence

Cited by

• Necessary conditions for discontinuities of multidimensional persistent Betti numbers
• Topological data analysis [wikipedia]