Mathematics MOC

Embedding

An embedding is an injective homomorphism which induces an isomorphism with its image. See Regular monomorphism for a categorical generalization.

Topology

An embedding is an injective continuous map 𝑓 :𝑌 ↪𝑋 such that it would be impossible for 𝑌 to have a coarser topology, i.e. the topology of 𝑌 is the same as the Subspace topology induced by 𝑓.¹ #m/def/topology

Differential topology

A 𝐶𝑘 embedding of 𝑌 in 𝑋 is a 𝐶𝑘 diffeomorphism between 𝑌 and a submanifold of 𝑋. #m/def/geo/diff

Others

• Category embedding

#state/tidy | #lang/en | #SemBr