The geometry of laminations
Fundamenta Mathematicae, Tome 151 (1996) no. 3, pp. 195-207
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:
attractor, lamination, hyperbolic geometry, tree-like continuum
@article{10_4064_fm_151_3_195_207,
author = {R. J. Fokkink and L. G. Oversteegen},
title = {The geometry of laminations},
journal = {Fundamenta Mathematicae},
pages = {195--207},
year = {1996},
volume = {151},
number = {3},
doi = {10.4064/fm-151-3-195-207},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-151-3-195-207/}
}
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
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