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The geometry of laminations

Tom 151 / 1996

R. J. Fokkink, L. G. Oversteegen Fundamenta Mathematicae 151 (1996), 195-207 DOI: 10.4064/fm-151-3-195-207

Streszczenie

A lamination is a continuum which locally is the product of a Cantor set and an arc. We investigate the topological structure and embedding properties of laminations. We prove that a nondegenerate lamination cannot be tree-like and that a planar lamination has at least four complementary domains. Furthermore, a lamination in the plane can be obtained by a lakes of Wada construction.

Autorzy

  • R. J. Fokkink
  • L. G. Oversteegen

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