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Mathematical Notes

, Volume 64, Issue 5, pp 579–589 | Cite as

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

  • A. A. Glutsyuk
Article
  • 44 Downloads

Abstract

In this paper Anosov's initial description of the sets mentioned in the title is completed. It is proved that there are four types of such sets and that all of these types are realizable.

Key words

infinite curves torus liftings asymptotic direction limit set 

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References

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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • A. A. Glutsyuk
    • 1
  1. 1.M. V. Lomonosov Moscow State UniversityUSSR

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