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A Short Proof of an Assertion of Thurston Concerning Convex Hulls

Graham Smith ()
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Graham Smith: Cidade Universitária, Ilha de Fundão, Instituto de Matemática, Universidade Federal do Rio de Janeiro

Chapter Chapter 7 in In the Tradition of Thurston, 2020, pp 255-261 from Springer

Abstract: Abstract Let X be a closed subset of the ideal boundary ∂ ∞ ℍ 3 $$\partial _{\infty }\mathbb {H}^{3}$$ of 3-dimensional hyperbolic space ℍ 3 $$\mathbb {H}^{3}$$ and let K be its convex hull in ℍ 3 $$\mathbb {H}^{3}$$ . We provide a short proof of the fact that the topological boundary ∂K of K is intrinsically hyperbolic.

Keywords: 30F60 (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-55928-1_7

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DOI: 10.1007/978-3-030-55928-1_7

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