imbedding

Noun

embedding (plural embeddings)

1. The act or process by which one thing is embedded in another.
2. A continuous map which is also a homeomorphism between its domain and its image (considered with the subspace topology induced by its codomain).
3. (differential topology) An immersion which is also a topological embedding; equivalently, a diffeomorphism whose image is a submanifold of its codomain.
4. (field theory, Galois theory) A ring homomorphism between fields (the name deriving from the fact that all such maps are injective).
5. A map between metric spaces which preserves distances up to some scaling factor (called the distortion).
6. An injective morphism in a concrete category which is also initial.

See all 7 meanings of embedding