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Rectifiable set

In mathematics, a rectifiable set is a set that is smooth in a certain measure-theoretic sense. It is an extension of the idea of a rectifiable curve to higher dimensions; loosely speaking, a rectifiable set is a rigorous formulation of a piece-wise smooth set. As such, it has many of the desirable properties of smooth manifolds, including tangent spaces…

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Definition

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Rectifiable set

Nodes18
Edges17
Triples10
Avg. degree1.89
Density0.111111
Components1

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Rectifiable set

Top relations

related to Definition · 3
Rectifiable set → Borel, Euclidean, Hausdorff
related to External links · 3
Rectifiable set → Encyclopedia, Mathematics, Rectifiable
is a · 2
Rectifiable set → rigorous formulation of a piece-wise smooth set, set that is smooth in a certain measure-theoretic sense
related to Rectifiable sets in metric spaces · 2
Rectifiable set → Federer, Lipschitz

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Important terminology

rectifiable set displaystyle measure sets smooth mathematics mathbb spaces geometric theory countable definition subset lipschitz pp countably phi dimensions metric

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Rectifiable setis aset that is smooth in a certain measure-theoretic sense0.90text
Rectifiable setis arigorous formulation of a piece-wise smooth set0.90text
Rectifiable setrelated to DefinitionBorel0.60section
Rectifiable setrelated to DefinitionEuclidean0.60section
Rectifiable setrelated to DefinitionHausdorff0.60section
Rectifiable setrelated to External linksRectifiable0.60section
Rectifiable setrelated to External linksEncyclopedia0.60section
Rectifiable setrelated to External linksMathematics0.60section
Rectifiable setrelated to Rectifiable sets in metric spacesFederer0.60section
Rectifiable setrelated to Rectifiable sets in metric spacesLipschitz0.60section

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