Bracelets are uniquely determined by their complements

Agnieszka Stelmaszyk-Úmierzchalska

supervisor: MichaƂ Ziembowski



Knots are uniquely determined by their complements, but this result does not hold for all links. Therefore, it is natural to try to find families of links in which, any two links with homeomorphic complements are equivalent. The conclusion is true for the family of bracelet shaped links.