Persistent intersection homology Bendich, Paul Harer, John The theory of intersection homology was developed to study the singularities of a topologically stratified space. This paper in- corporates this theory into the already developed framework of persistent homology. We demonstrate that persistent intersec- tion homology gives useful information about the relationship between an embedded stratified space and its singularities. We give, and prove the correctness of, an algorithm for the computa- tion of the persistent intersection homology groups of a filtered simplicial complex equipped with a stratification by subcom- plexes. We also derive, from Poincare ́ Duality, some structural results about persistent intersection homology. Springer 2011 info:eu-repo/semantics/article doc-type:Article Article http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/3378 Bendich P, Harer J. Persistent intersection homology. <i>Foundations of Computational Mathematics</i>. 2011;11(3):305-336. doi:<a href="https://doi.org/10.1007/s10208-010-9081-1">10.1007/s10208-010-9081-1</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s10208-010-9081-1 info:eu-repo/semantics/altIdentifier/wos/000290038800002 info:eu-repo/semantics/closedAccess