On cohomology of the Higson compactification of hyperbolic spaces

Details On cohomology of the Higson compactification of hyperbolic spaces On cohomology of the Higson compactification of hyperbolic spaces

2011-10-11

arxiv.org/abs/1110.2518v2

Mathematics

Algebraic Topology

12 pages,no figures

Scientific paper

We show that in dimensions $>1$ the cohomology groups of the Higson
compactification of the hyperbolic space $\H^n$ with respect to the $C_0$
coarse structure are trivial.
Also we prove that the cohomology groups of the Higson compactification of
$\H^n$ for the bounded coarse structure are trivial in all even dimensions.

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