# The geometry of laminations

Robbert Fokkink; Lex Oversteegen

Fundamenta Mathematicae (1996)

- Volume: 151, Issue: 3, page 195-207
- ISSN: 0016-2736

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topFokkink, Robbert, and Oversteegen, Lex. "The geometry of laminations." Fundamenta Mathematicae 151.3 (1996): 195-207. <http://eudml.org/doc/212192>.

@article{Fokkink1996,

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.},

author = {Fokkink, Robbert, Oversteegen, Lex},

journal = {Fundamenta Mathematicae},

keywords = {attractor; lamination; hyperbolic geometry; tree-like continuum},

language = {eng},

number = {3},

pages = {195-207},

title = {The geometry of laminations},

url = {http://eudml.org/doc/212192},

volume = {151},

year = {1996},

}

TY - JOUR

AU - Fokkink, Robbert

AU - Oversteegen, Lex

TI - The geometry of laminations

JO - Fundamenta Mathematicae

PY - 1996

VL - 151

IS - 3

SP - 195

EP - 207

AB - 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.

LA - eng

KW - attractor; lamination; hyperbolic geometry; tree-like continuum

UR - http://eudml.org/doc/212192

ER -

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