S. Maksymenko

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19992005

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math.GT2001

Smooth shifts along flows

Sergey Maksymenko

Let $Φ$ be a flow on a smooth, compact, finite-dimensional manifold $M$ . Consider the subsets $E (Φ)$ and $D (Φ)$ of $C^{\infty} (M, M)$ consisting of smoothh mappings and diffeomorphi…

math.GT1999

Connected components of the space of circle-valued Morse functions on surfaces

Sergey Maksymenko

We classify the path-components of the space of circle-valued Morse functions on compact surfaces: two Morse functions $f, g : M \to S^{1}$ belong to same path-component of this space…