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Date
2020-04-22Type
- Working Paper
ETH Bibliography
yes
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Abstract
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
Publication status
publishedExternal links
Journal / series
arXivPages / Article No.
Publisher
Cornell UniversityOrganisational unit
03500 - Lang, Urs / Lang, Urs
Related publications and datasets
Is previous version of: https://doi.org/10.3929/ethz-b-000525571
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ETH Bibliography
yes
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