Rank (differential topology)

id: rank-differential-topology-251-15463019
title: Rank (differential topology)
text: In mathematics, the rank of a differentiable map f : M → N between differentiable manifolds at a point p ∈ M is the rank of the derivative of f at p . Recall that the derivative of f at p is a linear map from the tangent space at p to the tangent space at f(p). As a linear map between vector spaces it has a well-defined rank, which is just the dimension of the image in Tf(p)N:
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Rank_(differential_topology)
date created:
date modified: 2022-07-20T15:40:44Z
main entity: {"identifier":"Q2128223","url":"https://www.wikidata.org/entity/Q2128223"}
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fields total: 13
integrity: 13

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