Mathematics – Geometric Topology
Scientific paper
2009-07-31
Conform. Geom. Dyn. 14 (2010), 1-13
Mathematics
Geometric Topology
12 pages, 13 figures
Scientific paper
The study of geometric group theory has suggested several theorems related to
subdivision tilings that have a natural hyperbolic structure. However, few
examples exist. We construct subdivision tilings for the complement of every
nonsingular, prime alternating link. These tilings define a combinatorial space
at infinity, similar to the space at infinity for word hyperbolic groups.
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