S. Maksymenko

collaborators

4 papers

math.GT2026

One-dimensional non-Hausdorff manifolds and CW complexes

Igor Vlasenko, Sergiy Maksymenko

This paper studies one-dimensional non-Hausdorff manifolds that are similar to "graphs with split vertices". It is shown that if $M$ is a connected one-dimensional non-Hausdorff ma…

math.GT2025

Smooth functions that split a Klein bottle into two MÃ¶bius 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.DG2025

Differentiable structures on a union of two open sets

Mykola Lysynskyi, Sergiy Maksymenko

In a recent paper the authors classified differentiable structures on the non-Hausdorff one-dimensional manifold $L$ called the line with two origins which is obtained by…

math.GT2025

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:…