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arxiv: math/0109057 · v3 · pith:Y76JL27Fnew · submitted 2001-09-09 · 🧮 math.AT · math.GT

Multicomplexes, bounded cohomology and additivity of simplicial volume

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keywords additivityboundaryamenablediscussglueingmanifoldssimplicialvolume
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We discuss some additivity properties of the simplicial volume for manifolds with boundary: we give proofs of additivity for glueing amenable boundary components and of superadditivity for glueing amenable submanifolds of the boundary, and we discuss doubling of 3-manifolds.

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