##  [Knot Theory](/knot-theory) 

  ##  [Knot Theory](https://puremath.quantumdictionary.io/knot-theory-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The study of embeddings of circles (S^1) in three-dimensional space (typically R^3 or S^3), classifying such embeddings up to ambient isotopy and analysing algebraic, combinatorial and geometric invariants that detect nontrivial embedding types.