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Reference for Intersection intersection and Linking linking in Algebraic Topologyalgebraic topology |
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Reference for Intersection and Linking in Algebraic TopologyI have a feeling that I have seen some kind of theory of linking and intersection that applies in spaces that are not manifolds. I've found two kinds of theories in the books I've checked: 1) intersection product of homology classes, defined in terms of Poincare duality, 2) linking numbers defined for disjoint subsets of $\mathbb{R}^n$ using the vector space structure of $\mathbb{R}^n$. What I really want to do is to talk about intersection/linking of subcomplexes of a finite simplicial complex. Can anyone point me to a reference?
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