embedding
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In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.
In the Vinony graph
Within Vinony's link graph, embedding is referenced by 341 other articles, and connects out to field, metric space and normed vector space.
It is catalogued under topics including Abstract algebra, Category theory and Differential topology.
Its subject is documented across 22 Wikipedia language editions.
Wikidata facts
- Subclass of
- function
- Part of
- machine learning
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- studied by
- mathematics
- different from
- draft
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Encyclopedic overview
16 sectionsContents
- Topology and geometry
- General topology
- Related definitions
- Differential topology
- Riemannian and pseudo-Riemannian geometry
- Algebra
- Field theory
- Universal algebra and model theory
- Order theory and domain theory
- Metric spaces
- Normed spaces
- Category theory
- See also
- Notes
- References
- External links
In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.
When some object X is said to be embedded in another object Y, the embedding is given by some injective and structure-preserving map f:X\rightarrow Y. The precise meaning of "structure-preserving" depends on the kind of mathematical structure of which X and Y are instances. In the terminology of category theory, a structure-preserving map is called a morphism.
Excerpted from Wikipedia’s “embedding” article, available under the CC BY-SA 4.0 licence.