Convergence groups from subgroups

Eric L Swenson

doi:10.2140/gt.2002.6.649

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Home > Journals > Geom. Topol. > Volume 6 > Issue 2 > Article

2002 Convergence groups from subgroups

Eric L Swenson

Geom. Topol. 6(2): 649-655 (2002). DOI: 10.2140/gt.2002.6.649

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Abstract

We give sufficient conditions for a group of homeomorphisms of a Peano continuum $X$ without cut-points to be a convergence group. The condition is that there is a collection of convergence subgroups whose limit sets “cut up" $X$ in the correct fashion. This is closely related to the result in [Topology 39 (2000) 229-237].