##  [Topological K-Theory](/topological-k-theory) 

  ##  [Topological K-Theory](https://puremath.quantumdictionary.io/topological-k-theory-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A generalized cohomology theory that assigns graded abelian groups K^*(X) to topological spaces X via stable equivalence classes of vector bundles (or formal differences thereof), incorporating operations like direct sum and tensor product and exhibiting Bott periodicity in the complex case.