##  [Alexander–Spanier Cohomology](/alexander-spanier-cohomology) 

  ##  [Alexander–Spanier Cohomology](https://puremath.quantumdictionary.io/alexander-spanier-cohomology-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A cohomology theory defined by cochains that assign values to tuples of points with support restricted to sufficiently small neighborhoods, built as a direct limit over refinements; it agrees with singular cohomology on reasonable spaces and emphasizes local-to-global constructions.