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Hyperbolicity and ∂-irreducibility of alternating tangles

✍ Scribed by Koya Shimokawa


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
330 KB
Volume
96
Category
Article
ISSN
0166-8641

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✦ Synopsis


We consider primeness, hyperbolicity, ∂-irreducibility and tangle sums of alternating tangles. We also study primeness and hyperbolicity of links and Dehn surgeries on knots admitting alternating tangle decompositions.


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Hyperbolicity and complement of graphs
✍ Sergio Bermudo; José M. Rodríguez; José M. Sigarreta; Eva Tourís 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 280 KB

If X is a geodesic metric space and x 1 , x 2 , x 3 ∈ X , a geodesic triangle T = {x 1 , x 2 , x 3 } is the union of the three geodesics [x 1 x 2 ], [x 2 x 3 ] and [x 3 x 1 ] in X . The space X is δ-hyperbolic (in the Gromov sense) if any side of T is contained in a δ-neighborhood of the union of th