Multicomplexes, bounded cohomology and additivity of simplicial volume

Mathematics – Algebraic Topology

Scientific paper

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36 pages

Scientific paper

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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