5 citations · 5 across the 3 of their papers we have counts for
3 papers
math.DS2025
A free Z-action by isometries on a compact metric space which is not embeddable into a cubical shift
Alexander Dranishnikov, Michael Levin
We construct an example announced in the title. It answers in a strong way a well-known open problem in topological dynamics. In fact our construction is an existence theorem. It i…
math.GT2023
On Lipschitz cohomology of aspherical manifolds
Alexander Dranishnikov
We introduce the notion of Lipschitz cohomology classes of a group with local coefficients and reduce the Novikov higher signature conjecture for a group to the question whethe…
math.MG2006★ 5 cited
Cohomological approach to asymptotic dimension
A. N. Dranishnikov
We introduce the notion of asymptotic cohomology based on the bounded cohomology and define cohomological asymptotic dimension $\as_{\Z} X$ of metric spaces. We show that it agrees…