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On the topology of ending lamination space

Author(s): Gabai, David

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Abstract: 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 Nobeling space. Finally if n not equal 0 , then FPML(S) is connected
Publication Date: 2014
Electronic Publication Date: 1-Dec-2014
Citation: Gabai, David. (2014). On the topology of ending lamination space. GEOMETRY & TOPOLOGY, 18 (2683 - 2745. doi:10.2140/gt.2014.18.2683
DOI: doi:10.2140/gt.2014.18.2683
ISSN: 1465-3060
EISSN: 1364-0380
Pages: 2683 - 2745
Type of Material: Journal Article
Journal/Proceeding Title: GEOMETRY & TOPOLOGY
Version: Author's manuscript

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