Whitney embedding theorem
In mathematics, particularly in differential topology, there are two Whitney embedding theorems, named after Hassler Whitney:
* The strong Whitney embedding theorem states that any smooth real m-dimensional manifold (required also to be Hausdorff and second-countable) can be smoothly embedded in the real 2m-space (R2m), if m > 0. This is the best linear bound on the smallest-dimensional Euclidean space that all m-dimensional manifolds embed in, as the real projective spaces of dimension m cannot be embedded into real (2m − 1)-space if m is a power of two (as can be seen from a characteristic class argument, also due to Whitney).
* The weak Whitney embedding theorem states that any continuous function from an n-dimensional manifold to an m-dimensional manifold may be approximated by a smo
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Whitney embedding theorem
In mathematics, particularly in differential topology, there are two Whitney embedding theorems, named after Hassler Whitney:
* The strong Whitney embedding theorem states that any smooth real m-dimensional manifold (required also to be Hausdorff and second-countable) can be smoothly embedded in the real 2m-space (R2m), if m > 0. This is the best linear bound on the smallest-dimensional Euclidean space that all m-dimensional manifolds embed in, as the real projective spaces of dimension m cannot be embedded into real (2m − 1)-space if m is a power of two (as can be seen from a characteristic class argument, also due to Whitney).
* The weak Whitney embedding theorem states that any continuous function from an n-dimensional manifold to an m-dimensional manifold may be approximated by a smo
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Der Einbettungssatz von Whitne ...... it eine Einbettung in besitzt.
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En géométrie différentielle, l ...... qui est encore d'image fermée.
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In de differentiaaltopologie, ...... gstelling van Whitney genoemd.
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In mathematics, particularly i ...... eak Whitney immersion theorem.
@en
Теорема Уитни о вложении утвер ...... мерное евклидово пространство.
@ru
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Der Einbettungssatz von Whitne ...... it eine Einbettung in besitzt.
@de
En géométrie différentielle, l ...... la constante 2m est optimale.
@fr
In de differentiaaltopologie, ...... ensie niet in de Euclidische (
@nl
In mathematics, particularly i ...... d may be approximated by a smo
@en
Теорема Уитни о вложении утвер ...... мерное евклидово пространство.
@ru
label
Einbettungssatz von Whitney
@de
Inbeddingstelling van Whitney
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Théorème de plongement de Whitney
@fr
Whitney embedding theorem
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Теорема Уитни о вложении
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