Almost filling laminations and the connectivity of ending lamination space

Gabai, David¹

¹ Department of Mathematics, Princeton University, Princeton, NJ 08544, USA

Geometry & topology, Tome 13 (2009) no. 2, pp. 1017-1041.

Résumé

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.

Détail

DOI : 10.2140/gt.2009.13.1017

Keywords: lamination, connectivity, curve complex, surface

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