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ArticleOriginal scientific text

Title

The geometry of laminations

Authors 1, 2

Affiliations

  1. Delft University of Technology, P.O. Box 356, 2500 AJ Delft, Netherlands
  2. University of Alabama at Birmingham, Birmingham, Alabama 35294, U.S.A.

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.

Keywords

ENG
attractor, lamination, hyperbolic geometry, tree-like continuum

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Fundamenta Mathematicae
1996/151/3
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Pages:
195-207
Main language of publication
English
Received
1993-09-23
Accepted
1996-02-02
Published
1996
Exact and natural sciences