Urysohn Width and Surgeries
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910024684535808 |
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| author | Berdnikov, Aleksandr Isley, Brendan |
| author_facet | Berdnikov, Aleksandr Isley, Brendan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15565 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Urysohn Width and Surgeries Berdnikov, Aleksandr Isley, Brendan Metric Geometry Differential Geometry 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. |
| title | Urysohn Width and Surgeries |
| topic | Metric Geometry Differential Geometry |
| url | https://arxiv.org/abs/2602.15565 |