141. 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

Embedding From Wikipedia, the free encyclopedia. For other uses of this term, see Embedded (disambiguation) 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 Contents Topology/Geometry General topology Differential geometry Riemannian geometry ... edit Topology/Geometry edit General topology 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 Differential geometry In differential geometry : Let M and N be smooth manifolds and be a smooth map, it is called an

142. 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

Columbia Geometric Topology Seminar Spring 2005 Unless a change is noted below, the Columbia Geometric Topology Seminar takes place Fridays at 1:15pm in 507 Mathematics . All are welcome. Click on the title of a talk for the abstract (if available). January 20 (Double header in 622 Math. **special day and location 11:00am) Oleg Viro (Uppsala U.) Real algebraic link theories. January 20 (Double header in 622 Math. **special day and location 1:15pm) Julia Viro (Uppsala U.) Lines and circles meeting links January 21 No geometric-topology talk January 28 Kasra Rafi (U. Conn.) Lines of minima are quasi-geodesics. February 4 (Double header time 11:00am.) Jennifer Schultens (U.C. Davis) Thin position of knots and 3-manifolds February 4 (Double header time 1:15pm) Michael Kapovich (U.C. Davis) Generalized triangle inequalities with applications to algebraic groups February 11 Karen Vogtmann (Cornell) Cycles at infinity in Outer space February 18 (Double header time 11:00am.) Tamas Kalman (USC) Contact homology and one-parameter families of Legendrian knots February 18 (Double header time 1:15pm.) Alessandra Iozzi (U. Basel / U. Strasbourg)

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