Coarse embeddings into products of trees

Daniel Kasprowski

doi:10.1215/21562261-2022-0007

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Daniel Kasprowski¹
¹Rheinische Friedrich-Wilhelms-Universität Bonn, Mathematisches Institut, Bonn, Germany

Abstract

We give a short and elementary proof of the fact that every metric space of finite asymptotic dimension can be coarsely embedded into a finite product of trees.

Citation Download Citation

Daniel Kasprowski "Coarse embeddings into products of trees," Kyoto Journal of Mathematics 62(1), 225-229, (April 2022). https://doi.org/10.1215/21562261-2022-0007

Received: 12 November 2018; Accepted: 17 January 2020; Published: April 2022