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
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
Nonlinear dimensionality reduction (redirect from Locally Linear Embedding)
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
Surface (topology) (redirect from Classification theorem for surfaces)
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
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