V. V. Sharko

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Articles: 5

Topological equivalence to a projection

V. V. Sharko, Yu. Yu. Soroka

↓ Abstract   |   Article (.pdf)

MFAT 21 (2015), no. 1, 3-5


We present a necessary and sufficient condition for a continuous function on a plane to be topologically equivalent to a projection onto one of the coordinates.

About Kronrod-Reeb graph of a function on a manifold

V. V. Sharko

↓ Abstract   |   Article (.pdf)

MFAT 12 (2006), no. 4, 389-396


We study Kronrod-Reeb graphs of functions with isolated critical points on smooth manifolds. We prove that any finite graph, which satisfies the condition $\Im$ is a Kronrod-Reeb graph for some such function on some manifold. In this connection, monotone functions on graphs are investigated.

The $L^2$-invariants and flows on manifolds

V. V. Sharko

MFAT 11 (2005), no. 2, 195-204


On classification of flows on manifolds. I

A. V. Bolsinov, A. A. Oshemkov, V. V. Sharko

MFAT 2 (1996), no. 2, 51-60


Bott functions and vector fields

V. V. Sharko

MFAT 1 (1995), no. 1, 86-92


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