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[parent] abstract embedding (Definition)

From the most general -categorical- point of view, an embedding between two objects $ A,B$ in a category $ \cal{C}$ is a $ \cal{C}$-morphism $ f\colon A\to B$ which is injective. So, for example, the adjectives topological, algebraic or geometrical should be used, respectively, when we talk of embeddings between topological spaces, algebraic structures or geometries.



"abstract embedding" is owned by juanman.
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Other names:  embedding

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Cross-references: geometries, algebraic structures, topological spaces, algebraic, category, objects, point
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This is version 5 of abstract embedding, born on 2006-12-24, modified 2007-06-10.
Object id is 8679, canonical name is SomethingRelatedToEmbedding.
Accessed 1301 times total.

Classification:
AMS MSC57R40 (Manifolds and cell complexes :: Differential topology :: Embeddings)

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