##  [Tangent Space](/tangent-space) 

  ##  [Tangent Space](https://puremath.quantumdictionary.io/tangent-space-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The vector space at a point of a differentiable manifold consisting of equivalence classes of curves through that point (velocity vectors) or of derivations at the point; it represents the allowable first-order directions through the point.