On homeomorphisms and quasi-isometries of the real line

dc.creatorSankaran, Parameswaran
dc.date2006-06-16
dc.date.accessioned2026-07-07T07:17:20Z
dc.date.available2026-07-07T07:17:20Z
dc.descriptionWe show that the group of all pl-homeomorphisms of the reals having bounded slopes surjects on the group $QI({\Bbb R})$ of all quasi-isometries of ${\Bbb R}$. We prove that the following groups can be imbedded in $QI({\Bbb R})$: The group of compactly supported pl-homeomorphisms of the reals, the Richard Thompson group F, and the free group of rank the continuum.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/math/0606385
dc.identifierhttp://arxiv.org/abs/math/0606385
dc.identifierProc. Amer. Math. Soc. 134 (2006), no. 7, (1875-1889)(electronic)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113907
dc.subjectGeometric Topology
dc.subject20F65, 20F28
dc.titleOn homeomorphisms and quasi-isometries of the real line
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