On the Topology of Ending Lamination Space

  • DAVID GABAI
  • Published 2011

Abstract

We show that if S is a finite type orientable surface of genus g and 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 Nobeling space. 

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