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smooth immersion

См. также в других словарях:

  • Immersion — can refer to:* Baptism by immersion * Immersion lithography or immersion microscopy, optical techniques in which liquid is between the objective and image plane in order to raise numerical aperture. * Language immersion * Immersion (mathematics) …   Wikipedia

  • Immersion (mathematics) — In mathematics, an immersion is a differentiable map between differentiable manifolds whose derivative is everywhere injective. Explicitly, f : M → N is an immersion if:D pf : T p M o T {f(p)}N,is an injective map at every point p of M (where the …   Wikipedia

  • Immersion (Mathematik) — Eine nicht injektive Immersion: R → R2, t → (t2 − 1, t · (t2 − 1)) In der Differentialgeometrie versteht man unter einer Immersion eine glatte Abbildung zwischen …   Deutsch Wikipedia

  • Whitney immersion theorem — In differential topology, the Whitney immersion theorem states that for m > 1, any smooth m dimensional manifold can be immersed in Euclidean 2m − 1 space. Equivalently, every smooth m dimensional manifold can be immersed in the 2m − 1… …   Wikipedia

  • Finite type invariant — In the mathematical theory of knots, a finite type invariant is a knot invariant that can be extended (in a precise manner to be described) to an invariant of certain singular knots that vanishes on singular knots with m + 1 singularities and… …   Wikipedia

  • Willmore conjecture — In mathematics mdash; specifically, in differential geometry mdash; the Willmore conjecture is a conjecture about the Willmore energy of a torus. The conjecture is named after the English mathematician Tom Willmore.tatement of the conjectureLet v …   Wikipedia

  • Glossary of scheme theory — This is a glossary of scheme theory. For an introduction to the theory of schemes in algebraic geometry, see affine scheme, projective space, sheaf and scheme. The concern here is to list the fundamental technical definitions and properties of… …   Wikipedia

  • 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

  • Whitney embedding theorem — In mathematics, particularly in differential topology,there are two Whitney embedding theorems:*The strong Whitney embedding theorem states that any connected smooth m dimensional manifold (required also to be Hausdorff and second countable) can… …   Wikipedia

  • Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… …   Wikipedia

  • Grothendieck topology — In category theory, a branch of mathematics, a Grothendieck topology is a structure on a category C which makes the objects of C act like the open sets of a topological space. A category together with a choice of Grothendieck topology is called a …   Wikipedia

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