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The space of geometric limits of one-generator closed subgroups of PSL2(ℝ)
2013
Algebraic and Geometric Topology
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We give a complete description of the closure of the space of one-generator closed subgroups of PSL2(R) for the Chabauty topology, by computing explicitly the matrices associated with elements of Aut(D) = PSL2(R), and finding quantities parametrizing the limit cases. Along the way, we investigate under what conditions sequences of maps transform convergent sequences of closed subsets of the domain into convergent sequences of closed subsets of the range. In particular, this allows us to compute
doi:10.2140/agt.2013.13.549
fatcat:b2zz4ypllfgzbgspp6nckv4jja