K-theory

In mathematics, K-theory is an extraordinary cohomology theory which consists of topological K-theory and algebraic K-theory and spans the subjects of algebraic topology, abstract algebra and some areas of application like operator algebras and algebraic geometry. It leads to the construction of families of K-functors, which contain useful but often hard-to-compute information.

External links

• Allen Hatcher's book Vector Bundles & K-Theory is available free in PDF and PostScript formats.
• {{planetmath reference|id=3338|title=K-theory}}
• {{planetmath reference|id=4049|title=Examples of K-theory groups}}
• {{planetmath reference|id=4117|title=Algebraic K-theory}}
• {{planetmath reference|id=4118|title=Examples of algebraic K-theory groups}}
• {{planetmath reference|id=3329|title=Fredholm module}}
• {{planetmath reference|id=3330|title=K-homology}}