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On Characterization of Lipschitz Manifolds

In: New Developments in Differential Geometry, Budapest 1996

Author

Listed:
  • Joże Malešič

    (Physics and Mechanics University of Ljubljana, Institute of Mathematics)

  • Dušan Repovš

    (Physics and Mechanics University of Ljubljana, Institute of Mathematics)

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).

Suggested Citation

  • Joże Malešič & Dušan Repovš, 1999. "On Characterization of Lipschitz Manifolds," Springer Books, in: J. Szenthe (ed.), New Developments in Differential Geometry, Budapest 1996, pages 265-277, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-5276-1_18
    DOI: 10.1007/978-94-011-5276-1_18
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