1997/05/31 by Vyacheslav Krushkal, Vyacheslav S. Krushkal, Peter Teichner · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Combinatorics #Computer science #Disjoint sets #Duality (order theory) #Filtration (mathematics) #Geometric and Algebraic Topology #Geometry #Homotopy #Homotopy and Cohomology in Algebraic Topology #Link (geometry) #Mathematical proof #Mathematics #Pure mathematics #Space (punctuation) #math.GT #msc:55M05 #msc:57M05 #msc:57M25 #msc:57N13 #msc:57N70
paper · pdf · doi:10.2140/gt.1997.1.51
published as Geom. Topol. 1 (1997) 51-69 · 19 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTVol1/paper5.abs.html
arxiv created 1997/10/26 · openalex publication_date 1997/10/26 · arxiv updated 2014/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove a geometric refinement of Alexander duality for certain 2-complexes, the so-called gropes, embedded into 4-space. This refinement can be roughly formulated as saying that 4-dimensional Alexander duality preserves the disjoint Dwyer filtration.