Mathematics – Geometric Topology
Scientific paper
2007-06-11
Mathematics
Geometric Topology
16 pages, 2 figures
Scientific paper
C Croke and B Kleiner have constructed an example of a CAT(0) group with more
than one visual boundary. J Wilson has proven that this same group has
uncountably many distinct boundaries. In this article we prove that the knot
group of any connected sum of two non-trivial torus knots also has uncountably
many distinct CAT(0) boundaries.
Mooney Christopher
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