#### Volume 13, issue 2 (2009)

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Almost filling laminations and the connectivity of ending lamination space

### David Gabai

Geometry & Topology 13 (2009) 1017–1041
##### 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 space of ending laminations of $S$ is path connected, locally path connected and cyclic.

##### Keywords
lamination, connectivity, curve complex, surface
##### Mathematical Subject Classification 2000
Primary: 57M50
Secondary: 57R30, 51M10, 20F65