TY - JOUR

T1 - On the topology of ending lamination space

AU - Gabai, David

N1 - Publisher Copyright:
© 2014, Mathematical Sciences Publishers. All rights reserved

PY - 2014/12/1

Y1 - 2014/12/1

N2 - 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.

AB - 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.

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U2 - 10.2140/gt.2014.18.2683

DO - 10.2140/gt.2014.18.2683

M3 - Article

AN - SCOPUS:84916634166

VL - 18

SP - 2683

EP - 2745

JO - Geometry and Topology

JF - Geometry and Topology

SN - 1465-3060

IS - 5

ER -