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Abstract

We construct an example of a wild Cantor set in IR3 which is Lipschitz ambientally homogeneous in IR3, thereby showing that Lipschitz homogeneity does not characterize Lipschitz submanifolds od IR3 (contrary to the smooth homogeneity).

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© 1999 Springer Science+Business Media Dordrecht

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Malešič, J., Repovš, D. (1999). On Characterization of Lipschitz Manifolds. In: Szenthe, J. (eds) New Developments in Differential Geometry, Budapest 1996. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5276-1_18

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  • DOI: https://doi.org/10.1007/978-94-011-5276-1_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6220-6

  • Online ISBN: 978-94-011-5276-1

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