Bounds on Urysohn width

The Urysohn d-width of a metric space quantifies how closely it can be approximated by a d-dimensional simplicial complex. Namely, the d-width of a space is at most w if it admits a continuous map to a d-complex with all fibers of diameter at most w. This notion was introduced in the context of dime...

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Bibliographic Details
Main Author: Balitskiy, Alexey
Other Authors: Guth, Larry
Format: Thesis
Published: Massachusetts Institute of Technology 2022
Online Access:https://hdl.handle.net/1721.1/139312
https://orcid.org/0000-0003-3169-1601