Quillen–Suslin theorem
= Quillen–Suslin theorem
{wiki=Quillen–Suslin_theorem}
The Quillen–Suslin theorem, also known as the vanishing of the topological K-theory of the field of rational numbers, is a fundamental result in algebraic topology and the theory of vector bundles. It states that every vector bundle over a contractible space is trivial. More specifically, it can be expressed in the context of finite-dimensional vector bundles over real or complex spaces.