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topological embedding∗ kompik† 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. References [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 † This text is available under the Creative Commons Attribution/Share-Alike License 3.0. You can reuse this document or portions thereof only if you do so under terms that are compatible with the CC-BY-SA license. 1
