Topological embedding

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Link in with subspace topology, important for disjoint union topology

Definition

An injective and continuous map that is a homeomorphism onto its image (considering that image as imbued with the subspace topology) is called a topological embedding[1] (or just an embedding if the context makes this obvious)[1]

Results


TODO: Example of embedding that is neither a closed map or an open map


References

  1. 1.0 1.1 Introduction to Topological Manifolds - John M. Lee