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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Bounded cohomology of certain groups of homeomorphisms


Authors: Shigenori Matsumoto and Shigeyuki Morita
Journal: Proc. Amer. Math. Soc. 94 (1985), 539-544
MSC: Primary 55N99; Secondary 57T99
MathSciNet review: 787909
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Abstract: We consider the condition when bounded cohomology injects into ordinary cohomology and prove the vanishing of bounded cohomology of the group of all compactly supported homeomorphisms of $ {{\mathbf{R}}^n}$.


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DOI: https://doi.org/10.1090/S0002-9939-1985-0787909-6
Keywords: Bounded cohomology, $ {l^1}$ homology, groups of homeomorphisms
Article copyright: © Copyright 1985 American Mathematical Society