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Ringed Space
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Geliefert zwischen Mi., 26.11.2025 und Do., 27.11.2025
Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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.An arbitrary topological space X can be considered a locally ringed space by taking OX to be the sheaf of real-valued (or complex-valued) continuous functions on open subsets of X (there may exist continuous functions over open subsets of X which are not the restriction of any continuous function over X). The stalk at a point x can be thought of as the set of all germs of continuous functions at x; this is a local ring with maximal ideal consisting of those germs whose value at x is 0. If X is a manifold with some extra structure, we can also take the sheaf of differentiable, or complex-analytic functions. Both of these give rise to locally ringed spaces.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131256455
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B220mm
- EAN 9786131256455
- Format Fachbuch
- Titel Ringed Space
- Herausgeber Betascript Publishing
- Anzahl Seiten 92
- Genre Mathematik
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