Almost filling laminations and the connectivity of ending lamination space

By David Gabai. 2008

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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.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/16c7bdde646f9f60c474ffdee361f10400c6a9ec