: Mathématiques: locally ringed space

geometry > topological space > locally ringed space

locally ringed space

In mathematics, a ringed space is a family of (commutative) rings parametrized by open subsets of a topological space together with ring homomorphisms that play roles of restrictions. Precisely, it is a topological space equipped with a sheaf of rings called a structure sheaf. It is an abstraction of the concept of the rings of continuous (scalar-valued) functions on open subsets.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Ringed_space)

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