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It seems misleading (incorrect?) to start with, "Let M be an orientable closed manifold of dimension n, with boundary N," because a 'closed manifold' is defined in wikipedia as such: "In mathematics, a closed manifold is a type of topological space, namely a compact manifold without boundary."
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Please, is there any reference to the triple version? I couldn't find it anywhere.
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Perhaps 'closed manifold' should be replaced with 'compact manifold'.
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