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

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30 papers · 1 filter

math.GT2026

One-dimensional non-Hausdorff manifolds and CW complexes

Igor Vlasenko, Sergiy Maksymenko

Say that a connected non-Hausdorff one-dimensional manifold $M$ is "graph-like", whenever the set $M_{b r}$ of its non-Hausdorff (called "branch") points is locally finite and every…

math.GT2025

Smooth functions that split a Klein bottle into two Möbius bands

Bohdan Mazhar, Sergiy Maksymenko

Given a compact surface $M$ , consider the right action $C^{\infty} (M) \times D (M) \to C^{\infty} (M)$ , $(f, h) \mapsto f \circ h$ , of the group $\mathcal{D}…

math.GT2024

Classification of differentiable structures on the non-Hausdorff line with two origins

Mykola Lysynskyi, Sergiy Maksymenko

We classify differentiable structures on a line $L$ with two origins being a non-Hausdorff but $T_{1}$ one-dimensional manifold obtained by ``doubling'' $0$ . For $k\in\mathb…

math.GT2023★ 1 cited

Vector bundle automorphisms preserving Morse-Bott foliations

Sergiy Maksymenko

Let $M$ be a smooth manifold and $F$ a Morse-Bott foliation on $M$ with a compact critical manifold $Σ$ . Denote by $D (F)$ the group of diffeomorphisms…

math.GT2023

Deformational symmetries of smooth functions on non-orientable surfaces

Iryna Kuznietsova, Sergiy Maksymenko

Given a compact surface $M$ , consider the natural right action of the group of diffeomorphisms $D (M)$ of $M$ on $C^{\infty} (M, R)$ defined by the rule:…

math.GT2023★ 2 cited

Diffeomorphism groups of Morse-Bott foliation on the solid Klein bottle by Klein bottles parallel to the boundary

Sergiy Maksymenko

Let $G$ be a Morse-Bott foliation on the solid Klein bottle $K$ into $2$ -dimensional Klein bottles parallel to the boundary and one singular circle $S^{1}$ . Let al…