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locally ringed space
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Ringed space
In mathematics, a ringed space can be equivalently thought of either
- (a) a space together with a collection of commutative rings, the elements of which are "functions" on each open set of the space, or
- (b) a family of (commutative) rings parametrized by open subsets of a topological space, together with ring homomorphisms coming from the relationships between open sets; in short, the sheaf of rings.
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