Sankaran, Parameswaran (2006) On homeomorphisms and quasi-isometries of the real line Proceedings of the American Mathematical Society, 134 (7). pp. 1875-1880. ISSN 0002-9939
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Official URL: http://www.ams.org/journals/proc/2006-134-07/S0002...
Abstract
We show that the group of piecewise-linear homeomorphisms of R having bounded slopes surjects onto the group QI(R) of all quasi-isometries of R. We prove that the following groups can be imbedded in QI(R): the group of compactly supported piecewise-linear homeomorphisms of R, the Richard Thompson group F, and the free group of continuous rank.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to American Mathematical Society. |
| ID Code: | 57707 |
| Deposited On: | 29 Aug 2011 08:23 |
| Last Modified: | 18 May 2016 09:01 |
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