@article{3378,
  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.},
  author       = {Bendich, Paul and Harer, John},
  journal      = {Foundations of Computational Mathematics},
  number       = {3},
  pages        = {305 -- 336},
  publisher    = {Springer},
  title        = {{Persistent intersection homology}},
  doi          = {10.1007/s10208-010-9081-1},
  volume       = {11},
  year         = {2011},
}