Almost filling laminations and the connectivity of ending lamination space

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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.

Original languageEnglish (US)
Pages (from-to)1017-1041
Number of pages25
JournalGeometry and Topology
Volume13
Issue number2
DOIs
StatePublished - Dec 1 2009

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Keywords

  • Connectivity
  • Curve complex
  • Lamination
  • Surface

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