On homeomorphisms and quasi-isometries of the real line

نویسنده

  • Parameswaran Sankaran
چکیده

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.

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تاریخ انتشار 2006