Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2015; 52(6): 1855-1899

Printed November 30, 2015

https://doi.org/10.4134/BKMS.2015.52.6.1855

Copyright © The Korean Mathematical Society.

Multicomplexes, bounded cohomology and additivity of simplicial volume

Thilo Kuessner

Korea Institute for Advanced Study

Abstract

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.

Keywords: simplicial volume

MSC numbers: 57N65

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