proper embedding
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Embedding — In mathematics, an embedding (or imbedding) is one instance of some mathematical structure contained within another instance, such as a group that is a subgroup.When some object X is said to be embedded in another object Y , the embedding is… … Wikipedia
Embedding problem — In Galois theory, a branch of mathematics, the embedding problem is a generalization of the inverse Galois problem. Roughly speaking, it asks whether a given Galois extension can be embedded into a Galois extension in such a way that the… … Wikipedia
List of knot theory topics — Knot theory is the study of mathematical knots. While inspired by knots which appear in daily life in shoelaces and rope, a mathematician s knot differs in that the ends are joined together so that it cannot be undone. In precise mathematical… … Wikipedia
Tangle (mathematics) — In mathematics, an n tangle is a proper embedding of the disjoint union of n arcs into a 3 ball. The embedding must send the endpoints of the arcs to 2 n marked points on the ball s boundary. Two n tangles are considered equivalent if there is an … Wikipedia
Incompressible surface — In mathematics, an incompressible surface, heuristically, is a surface, embedded in a 3 manifold, which has been simplified as much as possible while remaining nontrivial inside the 3 manifold. For a precise definition, suppose that S is a… … Wikipedia
Edge coloring — A 3 edge coloring of the Desargues graph. In graph theory, an edge coloring of a graph is an assignment of “colors” to the edges of the graph so that no two adjacent edges have the same color. For example, the figure to the right shows an edge… … Wikipedia
Numerical semigroup — In mathematics, a numerical semigroup is a special kind of a semigroup. Its underlying set is the set of all nonnegative integers except a finite number and the binary operation is the operation of addition of integers. Also, the integer 0 must… … Wikipedia
Causal sets — The causal sets programme is an approach to quantum gravity. Its founding principle is that spacetime is fundamentally discrete and that the spacetime points are related by a partial order. This partial order has the physical meaning of the… … Wikipedia
Histology — Not to be confused with Historiography. A stained histologic specimen, sandwiched between a glass microscope slide and coverslip, mounted on the stage of a light microscope … Wikipedia
Structure (mathematical logic) — In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations and relations which are defined on it. Universal algebra studies structures that generalize the algebraic structures such as… … Wikipedia
Resolution of singularities — Strong desingularization of Observe that the resolution does not stop after the first blowing up, when the strict transform is smooth, but when it is simple normal crossings with the exceptional divisors. In algebraic geometry, the problem of… … Wikipedia
