S. Maksymenko

activity

20032026

most citedHomotopy types of stabilizers and orbits of Morse functions on surfaces

35 citations · 200 across the 45 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.GT2019

Automorphisms of cellular divisions of $2$ -sphere induced by functions with isolated critical points

Anna Kravchenko, Sergiy Maksymenko

Let $f : S^{2} \to R$ be a Morse function on the $2$ -sphere and $K$ be a connected component of some level set of $f$ containing at least one saddle critical point. Then $K$ is…

math.GT2019★ 1 cited

Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-sphere

Anna Kravchenko, Sergiy Maksymenko

Let $M$ be a compact two-dimensional manifold and, $f \in C^{\infty} (M, R)$ be a Morse function, and $Γ_{f}$ be its Kronrod-Reeb graph. Denote by $\mathcal{O}_{f}=\{f \circ h…

math.GT2019

Homotopy properties of smooth functions on the Möbius band

Iryna Kuznietsova, Sergiy Maksymenko

Let $B$ be a Möbius band and $f : B \to R$ be a Morse map taking a constant value on $\partial B$ , and $S (f, \partial B)$ be the group of diffeomorphisms $h$ of $B$ …

Automorphisms of cellular divisions of 2-sphere induced by functions with isolated critical points

Automorphisms of Kronrod-Reeb graphs of Morse functions on 2-sphere

Homotopy properties of smooth functions on the Möbius band

Automorphisms of cellular divisions of $2$ -sphere induced by functions with isolated critical points