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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)…

Examples, Modules over the structure sheaf & Morphisms

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Overview

Definitions

Examples

Morphisms

Tangent spaces

Modules over the structure sheaf

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Map overview Semantic statistics

Ringed space

Nodes61
Edges60
Triples26
Avg. degree1.97
Density0.032787
Components1

How this topic connects Entity context

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Ringed space

Top relations

related to Tangent spaces · 8
Ringed space → Furthermore, Let, Locally, Now, So, Take, The, Then
related to External links · 5
Ringed space → EMS Press, Encyclopedia, Mathematics, Onishchik, Ringed
related to Modules over the structure sheaf · 5
Ringed space → Given, If, In, The, To
related to Examples · 4
Ringed space → An, Both, If, The
is a · 2
Ringed space → family of, ringed space
related to Definitions · 2
Ringed space → Note, The

Important terminology Word statistics

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Important terminology

displaystyle ringed space mathcal locally sheaf ring rings spaces open functions structure commutative stalk local topological morphism continuous every subsets

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Ringed spaceis afamily of0.90text
Ringed spaceis aringed space0.90text
Ringed spacerelated to DefinitionsThe0.60section
Ringed spacerelated to DefinitionsNote0.60section
Ringed spacerelated to ExamplesAn0.60section
Ringed spacerelated to ExamplesThe0.60section
Ringed spacerelated to ExamplesIf0.60section
Ringed spacerelated to ExamplesBoth0.60section
Ringed spacerelated to External linksOnishchik0.60section
Ringed spacerelated to External linksRinged0.60section
Ringed spacerelated to External linksEncyclopedia0.60section
Ringed spacerelated to External linksMathematics0.60section

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    Min side: 3
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