2019/04/13 by Greg Friedman, Friedman, Greg
Computer Science · Mathematics · Pharmacology, Toxicology and Pharmaceutics · #57N80 #Algebra over a field #Algebraic Topology (math.AT) #Alkaloids: synthesis and pharmacology #Axiom #Biology #Cohomology #Combinatorial proof #Combinatorics #Computer science #Discrete mathematics #FOS: Mathematics #Geography #Geometric Topology (math.GT) #Geometry #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Intersection (aeronautics) #Intersection homology #Mathematical proof #Mathematics #Primary: 55N33 #Pure mathematics #Secondary: 55N30 #Topological and Geometric Data Analysis #Topology (electrical circuits) #math.AT #math.GT #msc:55N30 #msc:55N33 #msc:57N80
paper · pdf · doi:10.48550/arxiv.1904.06456
6 pages. This version updates the first one to acknowledge previous work by Habegger and Saper and also adds a new even shorter proof of the main theorem
openalex publication_date 2019/04/13 · arxiv created 2019/06/03 · arxiv updated 2019/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We indicate two short proofs of the Goresky-MacPherson topological invariance of intersection homology. One proof is very short but requires the Goresky-MacPherson support and cosupport axioms; the other is slightly longer but does not require these axioms and so is adaptable to more general perversities.