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CAT(0) square complexes that do not embed into finite products of trees

Davies, James et al.
arXiv (OAI Expanded) · Papers
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combinatoricsmetric-geometry
Answering a question of Chepoi and Hagen, we give two constructions of bounded degree CAT(0) square complexes that cannot be isometrically embedded into any finite product of trees. The first is based on Burling graphs and has degree at most five, which is optimal. These square complexes topologic
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