Friedman, Greg; Kalai, Gil A multiperversity generalization of intersection homology. (English) Zbl 1160.55004 Pure Appl. Math. Q. 3, No. 1, 205-224 (2007). The intersection homology groups for stratified spaces \(X\), as introduced by M. Goresky and R. MacPherson [Topology 19, 135–165 (1980; Zbl 0448.55004)] depend on certain sequences of integers called perversities, which describe how simplicies are allowed to intersect in the singular set of \(X\). The authors introduce a generalization of intersection homology based on a set of perversities, which tolerate more types of intersections. Properties are explored, sample calculations are given, problems are raised (notably concerning dependence on stratification), and possible applications are mentioned. Reviewer: Bruce Hughes (Nashville) MSC: 55N33 Intersection homology and cohomology in algebraic topology 57N80 Stratifications in topological manifolds Keywords:intersection homology; perversity; pseudomanifold; manifold stratified space; multiperversity Citations:Zbl 0448.55004 PDFBibTeX XMLCite \textit{G. Friedman} and \textit{G. Kalai}, Pure Appl. Math. Q. 3, No. 1, 205--224 (2007; Zbl 1160.55004) Full Text: DOI