A Lefschetz duality intersection homology

2010/12/13 by Guillaume Valette, G. Valette, Valette, G.
Computer Science · Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AT

paper · pdf · doi:10.48550/arxiv.1012.2695

arxiv created 2011/04/20 · arxiv updated 2011/04/21

Abstract

We prove a Lefschetz duality result for intersection homology. Usually, this result applies to pseudomanifolds with boundary which are assumed to have a "collared neighborhood of their boundary". Our duality does not need this assumption and is a generalization of the classical one.

Citations

• L^∞ cohomology is intersection cohomology

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