Definition:K-Theory

Definition

K-theory is a method designed to enable a loose classification of vector bundles in algebraic geometry.

This article is complete as far as it goes, but it could do with expansion. In particular: Explain what it is You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding this information. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{Expand}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Also see

• Definition:Algebraic K-Theory

• Results about K-theory can be found here.

Historical Note

K-theory was introduced by Alexander Grothendieck in $1956$.

The method has been successfully adapted to enable the study of a wide range of objects in algebra and geometry.

Hence, using this technique, a number of difficult problems have been solved.

Linguistic Note

The K in K-Theory takes its name from Klasse, the German for class

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): K-theory
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): K-theory