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arXiv · 0912.0061

On boundaries of Coxeter groups and topological fractal structures

Tetsuya Hosaka
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Abstract

In this paper, based on research on rank-one isometries by W.Ballmann and M.Brin and recent research on rank-one isometries of Coxeter groups by P.Caprace and K.Fujiwara, we study a topological fractal structure of boundaries of Coxeter groups. We also show that the limit-point set is dense in a boundary of a Coxeter group and introduce some remarks on boundaries of CAT(0) groups with rank-one isometries.

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Tetsuya Hosaka. 2009-12-01. On boundaries of Coxeter groups and topological fractal structures. https://arxiv.org/abs/0912.0061

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