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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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참고문헌 (15)
참고문헌 신청
D. Jungreis / 1997 / Chains that realize the Gromov invariant of hyperbolic manifolds / Ergodic Theory Dynam. Systems 17 (3) : 643 ~ 648
H. Park / 2003 / Relative bounded cohomology / Topology Appl 131 (3) : 203 ~ 234
J. P. May / 1992 / Simplicial objects in algebraic topology, Chicago Lect. Math / UCP
M. Bucher / 2014 / Isometric embeddings in bounded cohomology / J. Topol. Anal 6 (1) : 1 ~ 25
M. Bucher / 2015 / The simplicial volume of 3-manifolds with boundary / J. Topol 8 (2) : 457 ~ 475
H. Park / 2003 / Relative bounded cohomology / Topology Appl 131 (3) : 203 ~ 234
J. P. May / 1992 / Simplicial objects in algebraic topology, Chicago Lect. Math / UCP
M. Bucher / 2014 / Isometric embeddings in bounded cohomology / J. Topol. Anal 6 (1) : 1 ~ 25
M. Bucher / 2015 / The simplicial volume of 3-manifolds with boundary / J. Topol 8 (2) : 457 ~ 475
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