Poincare Complex Diagonals

Mathematics – Algebraic Topology

Scientific paper

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Fixed some references, minor typos and improved some formulations

Scientific paper

Let M be a Poincare duality space of dimension at least four. In this paper
we describe a complete obstruction to realizing the diagonal map M -> M x M by
a Poincare embedding. The obstruction group depends only on the fundamental
group and the parity of the dimension of M.

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