28 citations · 78 across the 14 of their papers we have counts for
14 papers
The Karoubi-Weibel complexity for groups
Ivan Babenko, Thiziri Moulla
Let be a finitely presented group. A new complexity called \textit{Karoubi-Weibel complexity} or \textit{covering type}, is defined for . The construction is inspired by rec…
Minimal volume entropy and fiber growth
Ivan Babenko, Stéphane Sabourau
This article deals with topological assumptions under which the minimal volume entropy of a closed manifold , and more generally of a finite simplicial complex , vanishes or…
Minimal volume entropy of simplicial complexes
Ivan Babenko, Stephane Sabourau
This article deals with topological assumptions under which the minimal volume entropy of a closed manifold, and more generally of a finite simplicial complex, vanishes or is posit…
Volume entropy semi-norm
Ivan Babenko, Stephane Sabourau
We introduce the volume entropy semi-norm in real homology and show that it satisfies functorial properties similar to the ones of the simplicial volume. Answering a question of M.…
On Systolic Zeta Functions
Ivan Babenko, Daniel Massart
We define Dirichlet type series associated with homology length spectra of Riemannian, or Finsler, manifolds, or polyhedra, and investigate some of their analytical properties. As…
On Topologies on the Group
I. K. Babenko, S. A. Bogatyi
It is proved that, on any Abelian group of infinite cardinality , there exist precisely nonequivalent bounded Hausdorff group topologies. Under the continu…