Immersion (mathematics)
In mathematics, an immersion is a differentiable function between differentiable manifolds whose derivative is everywhere injective. Explicitly, f : M → N is an immersion if is an injective function at every point p of M (where TpX denotes the tangent space of a manifold X at a point p in X). Equivalently, f is an immersion if its derivative has constant rank equal to the dimension of M: The function f itself need not be injective, only its derivative.
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Immersion (mathematics)
In mathematics, an immersion is a differentiable function between differentiable manifolds whose derivative is everywhere injective. Explicitly, f : M → N is an immersion if is an injective function at every point p of M (where TpX denotes the tangent space of a manifold X at a point p in X). Equivalently, f is an immersion if its derivative has constant rank equal to the dimension of M: The function f itself need not be injective, only its derivative.
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Pour les articles homonymes, ...... homéomorphisme de V sur f(V)).
@fr
Em matemática, uma imersão é u ...... njetiva, somente sua derivada.
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En matemáticas, una inmersión ...... es continuas y homeomorfismos.
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In de wiskunde is een indompel ...... zijn, de afgeleide echter wel.
@nl
In der Differentialtopologie v ...... Mannigfaltigkeit beschrieben.
@de
In geometria, una immersione è ...... lmente, ma lo sono localmente.
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In mathematics, an immersion i ...... ections versus homeomorphisms.
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В топологии, погружение или им ...... ный ранг, равный размерности .
@ru
數學上，浸入是微分流形之間的可微映射，其導數處處是單射。確切 ...... M不是緊緻，則未必成立。這兩者的關係就如同連續雙射之於同胚。
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Ralph Louis Cohen
William S. Massey
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Pour les articles homonymes, ...... sion de V. On la différencie :
@fr
Em matemática, uma imersão é u ...... njetiva, somente sua derivada.
@pt
En matemáticas, una inmersión ...... r inyectiva, sólo su derivada.
@es
In de wiskunde is een indompel ...... zijn, de afgeleide echter wel.
@nl
In der Differentialtopologie v ...... Mannigfaltigkeit beschrieben.
@de
In geometria, una immersione è ...... lmente, ma lo sono localmente.
@it
In mathematics, an immersion i ...... njective, only its derivative.
@en
В топологии, погружение или им ...... ный ранг, равный размерности .
@ru
數學上，浸入是微分流形之間的可微映射，其導數處處是單射。確切 ...... M不是緊緻，則未必成立。這兩者的關係就如同連續雙射之於同胚。
@zh
label
Imersão (matemática)
@pt
Immersion (Mathematik)
@de
Immersion (mathematics)
@en
Immersion (mathématiques)
@fr
Immersione (geometria)
@it
Indompeling (wiskunde)
@nl
Inmersión (matemáticas)
@es
Погружение (топология)
@ru
浸入
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