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The Metric Completion of Outer Space

Algom-Kfir, Yael...

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The Metric Completion of Outer Space by Algom-Kfir, Yael ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	27-07-2023
Summary	We develop the theory of a metric completion of an asymmetric metric space. We characterize the points on the boundary of Outer Space that are in the metric completion of Outer Space with the Lipschitz metric. We prove that the simplicial completion, the subset of the completion consisting of simplicial tree actions, is homeomorphic to the free splitting complex. We use this to give a new proof of a theorem by Francaviglia and Martino that the isometry group of Outer Space is homeomorphic to $\text{Out}(F_n)$ for $n \geq 3$ and equal to $\text{PSL}(2,\mathbb{Z})$ for $n=2$.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1202.6392

Citation

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AMA 11th EditionReferences

Algom-Kfir, Yael. The Metric Completion of Outer Space. Australian National University. July 27, 2023. Accessed November 10, 2024. https://online.provdatabase.com/cite/5339

APA 7th EditionReferences

Algom-Kfir, Yael. (2023). The Metric Completion of Outer Space. Australian National University. https://online.provdatabase.com/cite/5339

Chicago 17th EditionReferences

Algom-Kfir, Yael. The Metric Completion of Outer Space. Australian National University. 2023. https://online.provdatabase.com/cite/5339

HarvardReferences

Algom-Kfir, Yael. (2023). The Metric Completion of Outer Space. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/5339. (Accessed 10 November 2024).

Harvard AustraliaReferences

Algom-Kfir, Yael, 2023, The Metric Completion of Outer Space, Australian National University, viewed 10 November 2024, <https://online.provdatabase.com/cite/5339>

MLA 9th EditionWorks Cited

Algom-Kfir, Yael. The Metric Completion of Outer Space. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/5339.

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