Almost filling laminations and the connectivity of ending lamination space

Abstract

We show that if S is a finite type orientable surface of negative Euler characteristic which is not the 3-holed sphere, 4-holed sphere or 1-holed torus, then the ending lamination space of S is connected, locally path connected and cyclic.

References in corpus (2)

• Train tracks and the Gromov boundary of the complex of curves
• The end of the curve complex

Cited by in corpus (1)

• Stable Subgroups of the Genus Two Handlebody Group