Geodesic
The geometry of laminations
Fundamenta Mathematicae, Tome 151 (1996) no. 3, pp. 195-207.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm-151-3-195-207
Keywords: attractor, lamination, hyperbolic geometry, tree-like continuum

R. J. Fokkink 1 ; L. G. Oversteegen 1

1 
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R. J. Fokkink; L. G. Oversteegen. The geometry of laminations. Fundamenta Mathematicae, Tome 151 (1996) no. 3, pp. 195-207. doi : 10.4064/fm-151-3-195-207. http://geodesic.mathdoc.fr/articles/10.4064/fm-151-3-195-207/

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