45 citations · 175 across the 43 of their papers we have counts for
3 papers · 1 filter
On the Berstein-Svarc Theorem in dimension 2
Alexander N. Dranishnikov, Yuli B. Rudyak
We prove that for any group of the cohomological dimension the th power of the Berstein class of the group is nontrivial. This allows to prove the following Berstein-Svarc t…
Symplectically aspherical manifolds
Jarek Kedra, Yuli Rudyak, Aleksy Tralle
This is a survey article on symplectically aspherical manifolds. The paper contains a discussion on constructions of symplectically aspherical manifolds, their topological properti…
Small values of Lusternik-Schnirelmann and systolic categories for manifolds
Alexander N. Dranishnikov, Mikhail G. Katz, Yuli B. Rudyak
We prove that manifolds of Lusternik-Schnirelmann category 2 necessarily have free fundamental group. We thus settle a 1992 conjecture of Gomez-Larranaga and Gonzalez-Acuna, by gen…