Gordian Unlinks

Fuente: arXiv
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Autori principali: Ayala, José, Hass, Joel
Natura: Preprint
Pubblicazione: 2025
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_version_ 1866913688260182016
author Ayala, José
Hass, Joel
author_facet Ayala, José
Hass, Joel
contents This paper gives the first examples of gordian unlinks. The components of these unlinks cannot be separated while maintaining constant length and thickness. We construct infinite families of 2-component gordian unlinks and also construct $n$-component gordian unlinks for each $n \geq 2$.
format Preprint
id arxiv_https___arxiv_org_abs_2502_08499
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gordian Unlinks
Ayala, José
Hass, Joel
Geometric Topology
57K10, 57K35, 53C42, 49Q10
This paper gives the first examples of gordian unlinks. The components of these unlinks cannot be separated while maintaining constant length and thickness. We construct infinite families of 2-component gordian unlinks and also construct $n$-component gordian unlinks for each $n \geq 2$.
title Gordian Unlinks
topic Geometric Topology
57K10, 57K35, 53C42, 49Q10
url https://arxiv.org/abs/2502.08499