Embedding - Wikipedia, The Free Encyclopedia More explicitly, a map f X ? Y between topological spaces X and Y is an Differential geometry. In differential geometry Let M and N be smooth http://en.wikipedia.org/wiki/Embedding
Extractions: In mathematics , an embedding (or imbedding ) is one instance of some mathematical object contained within another instance, such as a group that is a subgroup edit edit In general topology , an embedding is a homeomorphism onto its image. More explicitly, a map f X Y between topological spaces X and Y is an embedding if f yields a homeomorphism between X and f X ) (where f X ) carries the subspace topology inherited from Y ). Intuitively then, the embedding f X Y lets us treat X as a subspace of Y . Every embedding is injective and continuous . Every map that is injective, continuous and either open or closed is an embedding; however there are also embeddings which are neither open nor closed. The latter happens if the image f X ) is neither an open set nor a closed set in Y edit In differential geometry : Let M and N be smooth manifolds and be a smooth map, it is called an
Columbia Geometric Topology Seminar Unless a change is noted below, the Columbia Geometric topology Seminar takes place Fridays at 115pm in 507 Mathematics. All are welcome. http://www.math.columbia.edu/~clein/seminar.html
