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Datum
2020-04-22Typ
- Working Paper
ETH Bibliographie
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. Mehr anzeigen
Publikationsstatus
publishedExterne Links
Zeitschrift / Serie
arXivSeiten / Artikelnummer
Verlag
Cornell UniversityOrganisationseinheit
03500 - Lang, Urs / Lang, Urs
Zugehörige Publikationen und Daten
Is previous version of: https://doi.org/10.3929/ethz-b-000525571
ETH Bibliographie
yes
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