--- res: bibo_abstract: - 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.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Paul foaf_name: Bendich, Paul foaf_surname: Bendich foaf_workInfoHomepage: http://www.librecat.org/personId=43F6EC54-F248-11E8-B48F-1D18A9856A87 - foaf_Person: foaf_givenName: John foaf_name: Harer, John foaf_surname: Harer bibo_doi: 10.1007/s10208-010-9081-1 bibo_issue: '3' bibo_volume: 11 dct_date: 2011^xs_gYear dct_language: eng dct_publisher: Springer@ dct_title: Persistent intersection homology@ ...