On the topology of ending lamination space

Abstract

We show that if S is a finite type orientable surface of genus g and p punctures where 3g+p > 4, 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.

References in corpus (2)

• Connectivity of the space of ending laminations
• The ending lamination space of the five-punctured sphere is the Noebeling curve

Cited by in corpus (3)

• The boundary of the complex of free factors
• On the asymptotic dimension of the curve complex
• Borel and volume classes for dense representations of discrete groups