Almost filling laminations and the connectivity of ending lamination space

David Gabai

doi:10.2140/gt.2009.13.1017

Almost filling laminations and the connectivity of ending lamination space

David Gabai

Mathematics

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

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 language	English (US)
Pages (from-to)	1017-1041
Number of pages	25
Journal	Geometry and Topology
Volume	13
Issue number	2
DOIs	https://doi.org/10.2140/gt.2009.13.1017
State	Published - 2009

All Science Journal Classification (ASJC) codes

Geometry and Topology

Keywords

Connectivity
Curve complex
Lamination
Surface

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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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KW - Curve complex

KW - Lamination

KW - Surface

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Almost filling laminations and the connectivity of ending lamination space

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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