Embedding

Artificial intelligence

An embedding is a representation of a topological object, manifold, graph, field, etc. in a certain space in such a way that its connectivity or algebraic properties are preserved. For example, a field embedding preserves the algebraic structure of plus and times, an embedding of a topological space preserves open sets, and a graph embedding preserves connectivity.

One space X is embedded in another space Y when the properties of Y restricted to X are the same as the properties of X.

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