8 citations · 13 across the 6 of their papers we have counts for
4 papers · 1 filter
Fundamental groups of compact Hausdorff spaces
James E. Keesling, Yuli B. Rudyak
We discuss which groups can be realized as the fundamental groups of compact Hausdorff spaces. In particular, we prove that the claim ``every group can be realized as the fundament…
Examples of non-formal closed -connected manifolds of dimensions and more
Alex N. Dranishnikov, Yuli B. Rudyak
We construct closed -connected manifolds of dimensions that possess non-trivial rational Massey triple products. We also construct examples of manifolds such…
Detecting Elements and Lusternik--Schnirelmann Category of 3-Manifolds
John Oprea, Yuli Rudyak
In this paper, we give a new simplified calculation of the Lusternik-Schnirelmann category of closed 3-manifolds. We also describe when 3-manifolds have detecting elements and prov…
On sequences cat (f\sp k)
Yuli B. Rudyak
We prove that, for every decreasing sequence {a \sb k} of natural numbers, there exists a map f: X --> X with cat (f\sp k)=a\sb k.