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.
@article{bwmeta1.element.bwnjournal-article-fmv151i3p195bwm,
author = {Robbert Fokkink and Lex Oversteegen},
title = {The geometry of laminations},
journal = {Fundamenta Mathematicae},
volume = {149},
year = {1996},
pages = {195-207},
zbl = {0880.54024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv151i3p195bwm}
}
Fokkink, Robbert; Oversteegen, Lex. The geometry of laminations. Fundamenta Mathematicae, Tome 149 (1996) pp. 195-207. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv151i3p195bwm/
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