abstract embedding

From the most general -categorical- point of view, an embeddingMathworldPlanetmathPlanetmathPlanetmath between two objects A,B in a categoryMathworldPlanetmath 𝒞 is a 𝒞-morphism f:AB which is injective. So, for example, the adjectives topological, algebraic or geometrical should be used, respectively, when we talk of embeddings between topological spacesMathworldPlanetmath, algebraic structuresPlanetmathPlanetmath or geometries.

Title abstract embedding
Canonical name AbstractEmbedding
Date of creation 2013-03-22 16:30:15
Last modified on 2013-03-22 16:30:15
Owner juanman (12619)
Last modified by juanman (12619)
Numerical id 8
Author juanman (12619)
Entry type Definition
Classification msc 57R40
Synonym embedding