On the topology of ending lamination space
Geometric Topology
2014-12-17 v1
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.
Keywords
Cite
@article{arxiv.1105.3648,
title = {On the topology of ending lamination space},
author = {David Gabai},
journal= {arXiv preprint arXiv:1105.3648},
year = {2014}
}