Abstract
We give a complete description of the closure of the space of one-generator closed subgroups of for the Chabauty topology, by computing explicitly the matrices associated with elements of , 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 certain geometric limits of only by looking at the Hausdorff limit of some closed subsets of .
Citation
Hyungryul Baik. Lucien Clavier. "The space of geometric limits of one-generator closed subgroups of $\mathrm{PSL}_2(\mathbb{R})$." Algebr. Geom. Topol. 13 (1) 549 - 576, 2013. https://doi.org/10.2140/agt.2013.13.549
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