Yuli B. Rudyak

activity

19982005

(k - 1)

-connected manifolds of dimensions

4 k - 1

and more

8 citations · 13 across the 6 of their papers we have counts for

collaborators

18 papers

math.AT2005

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…

math.DG2004

Lusternik-Schnirelmann category and systolic category of low dimensional manifolds

Mikhail G. Katz, Yuli B. Rudyak

We show that the geometry of a Riemannian manifold (M,g) is sensitive to the apparently purely homotopy-theoretic invariant of M known as the Lusternik-Schnirelmann category, denot…

math.GT2003★ 4 cited

Algebraic structures on generalized strings

Vladimir Chernov, Yuli. B. Rudyak

A garland based on a manifold $P$ is a finite set of manifolds homeomorphic to $P$ with some of them glued together at marked points. Fix a manifold $M$ and consider a space $\NN$…

math.AT2003★ 8 cited

Examples of non-formal closed $(k - 1)$ -connected manifolds of dimensions $4 k - 1$ and more

Alex N. Dranishnikov, Yuli B. Rudyak

We construct closed $(k - 1)$ -connected manifolds of dimensions $\geq 4 k - 1$ that possess non-trivial rational Massey triple products. We also construct examples of manifolds $M$ such…

math.GT2003

On generalized winding numbers

Vladimir Chernov, Yuli B. Rudyak

Let $M^{m}$ be an oriented manifold, let $N^{m - 1}$ be an oriented closed manifold, and let $p$ be a point in $M^{m}$ . For a smooth map $f : N^{m - 1} \to M^{m}, p \neq \in I m f,$ we introduce…

math.GT2002★ 1 cited

Affine Linking Numbers and Causality Relations for Wave Fronts