Cup and cap products in intersection (co)homology

Mathematics – Algebraic Topology

Scientific paper

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44 pages

Scientific paper

We construct cup and cap products in intersection (co)homology with field
coefficients. The existence of the cap product allows us to give a new proof of
Poincare duality in intersection (co)homology which is similar in spirit to the
usual proof for ordinary (co)homology of manifolds.

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