Urysohn Width and Surgeries

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Aleksandr Berdnikov, Brendan Isley
DOI: 10.48550/arxiv.2602.15565
Cited by: 0

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.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Geometric and Algebraic Topology Advanced Differential Geometry Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
17 February 2026
Language
EN
Document type
Preprint