##  [Lifting Obstruction](/lifting-obstruction) 

  ##  [Lifting Obstruction](https://puremath.quantumdictionary.io/lifting-obstruction-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An invariant, cohomology class, or condition that measures the failure to produce a lift of a given structure, element, or morphism along a specified surjection or projection; it vanishes precisely when a global lift exists compatible with the prescribed data.