S. Avvakumov

activity

20122023

most citedAny cyclic quadrilateral can be inscribed in any closed convex smooth curve

18 citations · 63 across the 14 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.GT2019

Vanishing of all equivariant obstructions and the mapping degree

Sergey Avvakumov, Sergey Kudrya

Suppose that $n \neq = p^{k}$ and $n \neq = 2 p^{k}$ for all $k$ and all primes $p$ . We prove that for any Hausdorff compactum $X$ with a free action of the symmetric group $S_{n}$ th…

cs.CG2019

Homotopic curve shortening and the affine curve-shortening flow

Sergey Avvakumov, Gabriel Nivasch

We define and study a discrete process that generalizes the convex-layer decomposition of a planar point set. Our process, which we call "homotopic curve shortening" (HCS), starts…

math.GT2019★ 1 cited

Stronger counterexamples to the topological Tverberg conjecture

S. Avvakumov, R. Karasev, A. Skopenkov

Denote by $Δ_{M}$ the $M$ -dimensional simplex. A map $f : Δ_{M} \to R^{d}$ is an almost $r$ -embedding if $f σ_{1} \cap \dots \cap f σ_{r} = \emptyset$ whenever $σ_{1}, \dots, σ_{r}$ are pairw…

math.AT2019★ 11 cited

Envy-free division using mapping degree

Sergey Avvakumov, Roman Karasev

In this paper we study envy-free division problems. The classical approach to such problems, used by David Gale, reduces to considering continuous maps of a simplex to itself and f…