Geometry & Topology

Convergence groups from subgroups

Eric L Swenson

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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].

Article information

Source
Geom. Topol., Volume 6, Number 2 (2002), 649-655.

Dates
Accepted: 15 November 2002
First available in Project Euclid: 21 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.gt/1513882937

Digital Object Identifier
doi:10.2140/gt.2002.6.649

Mathematical Reviews number (MathSciNet)
MR1943380

Zentralblatt MATH identifier
1021.20032

Subjects
Primary: 20F32
Secondary: 57N10: Topology of general 3-manifolds [See also 57Mxx]

Keywords
group convergence group Peano continuum

Citation

Swenson, Eric L. Convergence groups from subgroups. Geom. Topol. 6 (2002), no. 2, 649--655. doi:10.2140/gt.2002.6.649. https://projecteuclid.org/euclid.gt/1513882937


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