Ringed Space

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, OX Modules

Famous quotes containing the words ringed and/or space:

    “But such as you and I do not seem old
    Like men who live by habit. Every day
    I ride with falcon to the river’s edge
    Or carry the ringed mail upon my back,
    Or court a woman; neither enemy,
    Game-bird, nor woman does the same thing twice....”
    William Butler Yeats (1865–1939)

    The merit of those who fill a space in the world’s history, who are borne forward, as it were, by the weight of thousands whom they lead, shed a perfume less sweet than do the sacrifices of private virtue.
    Ralph Waldo Emerson (1803–1882)