In mathematics, a **ringed space** is, intuitively speaking, a space together with a collection of commutative rings, the elements of which are "functions" on each open set of the space. Ringed spaces appear throughout analysis and are also used to define the schemes of algebraic geometry.

Read more about Ringed Space: Definition, Examples, Morphisms, Tangent Spaces, *O _{X}* Modules

### Other articles related to "ringed space, space, spaces":

... manifolds can be formulated using the notion of a

**ringed space**... The pair (Rn, O) is an example of a locally

**ringed space**it is a topological

**space**equipped with a sheaf whose stalks are each local rings ... manifold (of class Ck) consists of a pair (M, OM) where M is a second countable Hausdorff

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... In the abelian category of finite dimensional vector

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**space**V the class in ... Finally for a bounded complex of finite dimensional vector

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**Ringed Space**-

*O*Modules

_{X}... Given a locally

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**ringed space**(X, OX) is an abelian category ...

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—William Butler Yeats (1865–1939)