The geometry of laminations

Academic Article

Abstract

  • 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.
  • Authors

    Published In

    Author List

  • Fokkink RJ; Oversteegen LG
  • Start Page

  • 195
  • End Page

  • 207
  • Volume

  • 151
  • Issue

  • 3