• differential topology, there are two Whitney embedding theorems, named after Hassler Whitney: The strong Whitney embedding theorem states that any smooth real...
    13 KB (1,956 words) - 20:39, 30 May 2024
  • Nash embedding theorems (or imbedding theorems), named after John Forbes Nash Jr., state that every Riemannian manifold can be isometrically embedded into...
    16 KB (1,893 words) - 13:05, 10 March 2024
  • Thumbnail for Takens's theorem
    M} with box counting dimension dA. Using ideas from Whitney's embedding theorem, A can be embedded in k-dimensional Euclidean space with k > 2 d A . {\displaystyle...
    10 KB (1,298 words) - 18:55, 17 August 2024
  • n} must be for an embedding, in terms of the dimension m {\displaystyle m} of M {\displaystyle M} . The Whitney embedding theorem states that n = 2 m...
    18 KB (2,676 words) - 10:02, 18 May 2024
  • Thumbnail for Nonlinear dimensionality reduction
    GitHub) Manifold hypothesis Spectral submanifold Taken's theorem Whitney embedding theorem Discriminant analysis Elastic map Feature learning Growing...
    48 KB (6,075 words) - 11:32, 22 August 2024
  • In mathematics, the Mostow–Palais theorem is an equivariant version of the Whitney embedding theorem. It states that if a manifold is acted on by a compact...
    1 KB (119 words) - 08:37, 16 April 2021
  • In differential topology, the Whitney immersion theorem (named after Hassler Whitney) states that for m > 1 {\displaystyle m>1} , any smooth m {\displaystyle...
    3 KB (336 words) - 18:39, 24 December 2021
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    surfaces in the extrinsic sense. However, the Whitney embedding theorem asserts every surface can in fact be embedded homeomorphically into Euclidean space,...
    32 KB (4,170 words) - 23:57, 20 April 2024
  • Whitehead theorem (homotopy theory) Whitney embedding theorem (differential manifolds) Whitney extension theorem (mathematical analysis) Whitney immersion...
    73 KB (6,015 words) - 12:17, 2 August 2024
  • Thumbnail for Poincaré–Hopf theorem
    the modern study of both fields. Embed M in some high-dimensional Euclidean space. (Use the Whitney embedding theorem.) Take a small neighborhood of M...
    6 KB (867 words) - 12:53, 31 January 2024