37 citations · 68 across the 7 of their papers we have counts for
6 papers · 1 filter
Compact group actions that raise dimension to infinity
A. N. Dranishnikov, J. E. West
THEOREM. For every prime and each , there is an action of on a two-dimensional compact metric space with -dimensional…
Lipschitz Cohomology, Novikov conjecture, and Expanders
A. Dranishnikov
We present sufficient conditions for the cohomology of a closed aspherical manifold to be proper Lipschitz in sense of Connes-Gromov-Moscovici [CGM]. The conditions are stated in t…
HyperEuclidean manifolds and the Novikov Conjecture
A. Dranishnikov
We develop some basic Lipschitz homotopy technique and apply it to manifolds with finite asymptotic dimension. In particular we show that the Higson compactification of a uniformly…
On Large Scale Properties of Manifolds
A. N. Dranishnikov
We show that a space with a finite asymptotic dimension is embeddable in a non-positively curved manifold. Then we prove that if a uniformly contractible manifold X is uniformly em…
Every Coxeter group acts amenably on a compact space
A. N. Dranishnikov, T. Januszkiewicz
Coxeter groups admit amenable actions on compact spaces. Moreover, they have finite asymptotic dimension.
On generalized amenability
A. N. Dranishnikov
There is a word metric on countably generated free group such that does not admit a coarse uniform embedding into a Hilbert space.