CAT(0) spaces with polynomial divergence of geodesics

Details CAT(0) spaces with polynomial divergence of geodesics CAT(0) spaces with polynomial divergence of geodesics

2011-01-17

arxiv.org/abs/1101.3355v1

Mathematics

Group Theory

Scientific paper

We construct a family of finite 2-complexes whose universal covers are CAT(0)
and have polynomial divergence of desired degree. This answers a question of
Gersten, namely whether such CAT(0) complexes exist.

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