Bohdan Feshchenko

activity

20142024

most citedOrbits of smooth functions on 2-torus and their homotopy types

14 citations · 26 across the 8 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

math.GT2014★ 8 cited

Smooth functions on 2-torus whose Kronrod-Reeb graph contains a cycle

Sergiy Maksymenko, Bohdan Feshchenko

Let $f : M \to R$ be a Morse function on a connected compact surface $M$ , and $S (f)$ and $O (f)$ be respectively the stabilizer and the orbit of $f$ with r…

math.GT2014★ 14 cited

Orbits of smooth functions on 2-torus and their homotopy types

Sergiy Maksymenko, Bohdan Feshchenko

Let $f : T^{2} \to R$ be a Morse function on $2$ -torus $T^{2}$ such that its Kronrod-Reeb graph $Γ (f)$ has exactly one cycle, i.e. it is homotopy equivalent to $S^{1}$ . Under some a…