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:
“Not ringed but rare, not gilled but polyp-like, having sprung up
overnight—
These mushrooms of the gods, resembling human organs uprooted,
rooted only on the air,”
—William Jay Smith (b. 1918)
“In bourgeois society, the French and the industrial revolution transformed the authorization of political space. The political revolution put an end to the formalized hierarchy of the ancien regimé.... Concurrently, the industrial revolution subverted the social hierarchy upon which the old political space was based. It transformed the experience of society from one of vertical hierarchy to one of horizontal class stratification.”
—Donald M. Lowe, U.S. historian, educator. History of Bourgeois Perception, ch. 4, University of Chicago Press (1982)