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arxiv: 1101.3355 · v2 · pith:ED3THJD7new · submitted 2011-01-17 · 🧮 math.GR

CAT(0) spaces with polynomial divergence of geodesics

classification 🧮 math.GR
keywords complexesdivergencepolynomialanswersconstructcoversdegreedesired
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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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