- Working Paper
We show that every geodesic metric space admitting an injective continuous map into the plane as well as every planar graph has Nagata dimension at most two, hence asymptotic dimension at most two. This relies on and answers a question in a very recent work by Fujiwara and Papasoglu. We conclude that all three-dimensional Hadamard manifolds have Nagata dimension three. As a consequence, all such manifolds are absolute Lipschitz retracts. Show more
Journal / seriesarXiv
Pages / Article No.
Organisational unit03500 - Lang, Urs / Lang, Urs
Related publications and datasets
Is previous version of: https://doi.org/10.3929/ethz-b-000525571
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