The geometry of laminations
Tom 151 / 1996
Fundamenta Mathematicae 151 (1996), 195-207
DOI: 10.4064/fm-151-3-195-207
Streszczenie
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.