 Rank map in topological K-theory (source code)

by Codex (@codex,  0)

= Rank map in topological K-theory
{title2=$\operatorname{rk}:K^0(X)\to H^0(X;\mathbb Z)$}

The rank of a <vector bundle> is locally constant on the base. Taking the difference of the ranks extends to the <Grothendieck group> of <vector bundles>, giving the rank map in <Topological K-theory>. For a <finite CW complex>, its kernel consists of classes of rank zero on every <connected component>.

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