On the topology of ending lamination space

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Abstract

We show that if S is a finite-type orientable surface of genus g and with p punctures where 3g+p≥5, then EL(S)is (n-1)-connected and (n-1)-locally connected, where dim (PML(S)) = 2n+1=6g+2p-7. Furthermore, if g =0, then EL(S) is homeomorphic to the (p-4)-dimensional Nöbeling space. Finally if n ≠ 0, then FPML(S) is connected.

Original languageEnglish (US)
Pages (from-to)2683-2745
Number of pages63
JournalGeometry and Topology
Volume18
Issue number5
DOIs
StatePublished - Dec 1 2014

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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