 ##  [Antoine's Necklace](/antoines-necklace) 

  ##  [Antoine's Necklace](https://puremath.quantumdictionary.io/antoines-necklace-0) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

A classical construction of a wild embedding of a Cantor set in R^3 obtained by an infinite nested sequence of linked solid tori (a 'necklace'), producing a Cantor set whose complement is not simply connected and exhibiting pathological embedding behavior.