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Codimension

In mathematics, codimension is a basic geometric idea that applies to subspaces in vector spaces, to submanifolds in manifolds, and suitable subsets of algebraic varieties.

Dual interpretation, Definition & Additivity of codimension and dimension counting

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Overview

Definition

Additivity of codimension and dimension counting

Dual interpretation

In geometric topology

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Map overview Semantic statistics

Codimension

Nodes53
Edges52
Triples35
Avg. degree1.96
Density0.037736
Components1

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Codimension

Top relations

related to References · 14
Codimension → Advanced Linear Algebra, EMS Press, Encyclopedia, Graduate Texts, ISBN, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, Mathematics, Roman, Springer, Stephen, Third, Wikisource-logo
related to Dual interpretation · 8
Codimension → In, RHS, That, The, Therefore, This, We, Wi
related to Additivity of codimension and dimension counting · 6
Codimension → In, RHS, The, This, W1, W2
related to In geometric topology · 3
Codimension → In, Since, This
is a · 2
Codimension → basic geometric idea that applies to subspaces in vector spaces, dimension of the normal bundle
related to Definition · 2
Codimension → If, There

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Important terminology

dimension linear number vector constraints space theory geometric dual topology height ideal subspaces subspace spaces often relative algebraic varieties intersection

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Codimensionis abasic geometric idea that applies to subspaces in vector spaces0.90text
Codimensionis adimension of the normal bundle0.90text
Codimensionrelated to Additivity of codimension and dimension countingThe0.60section
Codimensionrelated to Additivity of codimension and dimension countingW10.60section
Codimensionrelated to Additivity of codimension and dimension countingW20.60section
Codimensionrelated to Additivity of codimension and dimension countingIn0.60section
Codimensionrelated to Additivity of codimension and dimension countingThis0.60section
Codimensionrelated to Additivity of codimension and dimension countingRHS0.60section
Codimensionrelated to DefinitionThere0.60section
Codimensionrelated to DefinitionIf0.60section
Codimensionrelated to Dual interpretationIn0.60section
Codimensionrelated to Dual interpretationThe0.60section

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    Min side: 3
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