Yuli B. Rudyak

activity

19972024

most citedOn the Berstein-Svarc Theorem in dimension 2

45 citations · 175 across the 43 of their papers we have counts for

collaborators

Showing math.GTShow all

7 papers · 1 filter

math.GT2023

Maps of Degree One, Lusternik Schnirelmann Category, and Critical Points

Deep Kundu, Yuli B. Rudyak

Let $C r i tM$ denote the minimal number of critical points (not necessarily non-degenerate) on a closed smooth manifold $M$ . We are interested in the evaluation of $C r i t$ . It is wor…

math.GT2006★ 31 cited

Linking and causality in globally hyperbolic spacetimes

Vladimir Chernov, Yuli B. Rudyak

The linking number $l k$ is defined if link components are zero homologous. Our affine linking invariant $a l k$ generalizes $l k$ to the case of linked submanifolds with arbitrary hom…

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.GT2003★ 9 cited

Toward a general theory of linking invariants

Vladimir V Chernov, Yuli B Rudyak

Let N_1, N_2, M be smooth manifolds with dim N_1 + dim N_2 +1 = dim M$ and let phi_i, for i=1,2, be smooth mappings of N_i to M with Im phi_1 and Im phi_2 disjoint. The classical l…

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

Vladimir Chernov, Yuli B. Rudyak

Two wave fronts $W_{1}$ and $W_{2}$ that originated at some points of the manifold $M^{n}$ are said to be causally related if one of them passed through the origin of the other before th…

math.GT2001

On the minimal number of critical points of functions on h-cobordisms

P. E. Pushkar, Yu. B. Rudyak

Let (W,M,M'), dim W > 5, be a non-trivial h-cobordism (i.e., the Whitehead torsion of (W,V) is non-zero). We prove that every smooth function f: W --> [0,1], f(M)=0, f(M')=1 has at…