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 Trudy SVMO, 2008, Volume 10, Number 2, Pages 130–135 (Mi svmo105)

In Middle Volga Mathematical Society

On classification for diffeomorphisms of 3-dimensional sphere with one-dimensional basis sets

Yu. A. Levchenko

Abstract: We consider $A$-diffeomorphism $f$ of 3-sphere $S^3$ with a surface one-dimensional attractor or repeller $\Lambda$ and $M^2_\Lambda$ is a locally flat supporting surface for $\Lambda$, for which the set $M^2_{\Lambda}\setminus \lambda$ consist of the finite number of districts. Each district is homeomorfic to standard disk and contain only one periodic point of $A$-diffeomorphism $f$. This paper is devoted to topological classification of diffeomorphisms satisfying this conditions.

Keywords: A-diffeomorphism, basic set, attractor, topological classification

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UDC: 513.83