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Limit sets at infinity for liftings of non-self-intersecting curves on the torus to the plane - MaRDI portal

Limit sets at infinity for liftings of non-self-intersecting curves on the torus to the plane (Q1966250)

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scientific article; zbMATH DE number 1407576
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English
Limit sets at infinity for liftings of non-self-intersecting curves on the torus to the plane
scientific article; zbMATH DE number 1407576

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    Limit sets at infinity for liftings of non-self-intersecting curves on the torus to the plane (English)
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    6 November 2002
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    This paper describes the sets of directions in which a lifting of a non-selfintersecting curve on the torus to the plane can accumulate at infinity. Here the author completes Anosov's initial description of limit sets at infinity for liftings of non-selfintersecting curves on the torus to the plane. It is proved that there are four types of such sets and that all of these types are realizable.
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    non-selfintersecting
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    limit sets
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