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topological embedding∗
2013-03-21 19:42:33
Let X, Y be topological spaces. A map f : X → Y is said to be an embedding
(or imbedding) if the restriction f : X → f [X] is homeomorphism.
The notation f : X ,→ Y is often used for embeddings.
The embeddings correspond to the subspaces. Observe that f and the inclusion map of the subspace f [X] into X differ only up to a homeomorphism.
[1] Wikipedia’s entry on Embedding
[2] S. Willard, General topology, Addison-Wesley, Massachussets, 1970.
∗ hTopologicalEmbeddingi created: h2013-03-21i by: hkompiki version: h37385i Privacy
setting: h1i hDefinitioni h54C25i h52B05i
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