# Definition:K-Theory

Jump to navigation
Jump to search

## 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 isYou 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

- 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**