##  [Sheaf Theory](/sheaf-theory) 

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

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The theory of sheaves: a sheaf assigns algebraic or categorical data to open sets of a topological space (or objects of a site) together with restriction maps satisfying locality and gluing axioms, and studies the global consequences via derived constructions such as sheaf cohomology.