2011/05/18 by David Gabai · 10 citations
Mathematics · #General topology #Genus #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Lamination #Mathematical Dynamics and Fractals #Space (punctuation) #Surface (topology) #Topology (electrical circuits) #math.GT #msc:57M50
paper · pdf · doi:10.2140/gt.2014.18.2683
published in Geometry & Topology 18(5), 2683-2745 (Mathematical Sciences Publishers)
arxiv created 2011/05/18 · openalex publication_date 2014/12/01 · arxiv updated 2014/12/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We show that if S is a finite-type orientable surface of genus g and with p punctures where 3g C p 5, then EL.S / is .n 1/-connected and .n 1/-locally connected, where dim.PML.S// D 2n C 1 D 6g C 2p 7. Furthermore, if g D 0, then EL.S / is homeomorphic to the .