Urysohn Width and Surgeries
Metric Geometry
2026-02-18 v1 Differential Geometry
Abstract
We analyze the behavior of Urysohn width of manifolds under a connected sum operation, specifically, bounding widths of summands in terms of widths of the sum and vice versa. Our methods also apply to the universal covers of these spaces, and to more general type of surgeries. Lastly, we provide examples that show the optimality of constants in our estimates.
Keywords
Cite
@article{arxiv.2602.15565,
title = {Urysohn Width and Surgeries},
author = {Aleksandr Berdnikov and Brendan Isley},
journal= {arXiv preprint arXiv:2602.15565},
year = {2026}
}
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14 pages