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arXiv · 1110.2518

On cohomology of the Higson compactification of hyperbolic spaces

Alexander Dranishnikov·Thanos Gentimis
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Abstract

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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Alexander Dranishnikov, Thanos Gentimis. 2012-12-18. On cohomology of the Higson compactification of hyperbolic spaces. https://arxiv.org/abs/1110.2518

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