Almost filling laminations and the connectivity of ending lamination space

David Gabai

doi:10.2140/gt.2009.13.1017

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Home > Journals > Geom. Topol. > Volume 13 > Issue 2 > Article

2009 Almost filling laminations and the connectivity of ending lamination space

David Gabai

Geom. Topol. 13(2): 1017-1041 (2009). DOI: 10.2140/gt.2009.13.1017

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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.

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David Gabai. "Almost filling laminations and the connectivity of ending lamination space." Geom. Topol. 13 (2) 1017 - 1041, 2009. https://doi.org/10.2140/gt.2009.13.1017