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)
“But alas! I never could keep a promise. I do not blame myself for this weakness, because the fault must lie in my physical organization. It is likely that such a very liberal amount of space was given to the organ which enables me to make promises, that the organ which should enable me to keep them was crowded out. But I grieve not. I like no half-way things. I had rather have one faculty nobly developed than two faculties of mere ordinary capacity.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)