On Freedman's link packings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917808926883840 |
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| author | Manin, Fedor Portnoy, Elia |
| author_facet | Manin, Fedor Portnoy, Elia |
| contents | Recently, Freedman [arXiv:2301.00295] introduced the idea of packing a maximal number of links into a bounded region subject to geometric constraints, and produced upper bounds on the packing number in some cases, while commenting that these bounds seemed far too large. We show that the smallest of these "extravagantly large" bounds is in fact sharp by constructing, for any link, a packing of exponentially many copies as a function of the available volume. We also produce improved and generalized upper bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_08064 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On Freedman's link packings Manin, Fedor Portnoy, Elia Geometric Topology Metric Geometry 57K10, 53A04, 53C42 Recently, Freedman [arXiv:2301.00295] introduced the idea of packing a maximal number of links into a bounded region subject to geometric constraints, and produced upper bounds on the packing number in some cases, while commenting that these bounds seemed far too large. We show that the smallest of these "extravagantly large" bounds is in fact sharp by constructing, for any link, a packing of exponentially many copies as a function of the available volume. We also produce improved and generalized upper bounds. |
| title | On Freedman's link packings |
| topic | Geometric Topology Metric Geometry 57K10, 53A04, 53C42 |
| url | https://arxiv.org/abs/2308.08064 |