Topological K-theory
= Topological K-theory
{c}
{title2=$K^*(X)$}
{wiki}
Complex topological K-theory is the generalized cohomology theory built from stable equivalence classes of complex vector bundles. Its degree-zero group is the Grothendieck group $K^0(X)$, and its reduced theory is denoted $\widetilde K^*(X)$.