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Splitting principle

In mathematics, the splitting principle is a technique used to reduce questions about vector bundles to the case of line bundles. In the theory of vector bundles, one often wishes to simplify computations, for example of Chern classes. Often computations are well understood for line bundles and for direct sums of line bundles. Then the splitting…

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Splitting principle

Nodes16
Edges15
Triples9
Avg. degree1.88
Density0.125
Components1

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Splitting principle

Top relations

related to Statement · 7
Splitting principle → Fl, It, Let, One, Theorem, There, This
is a · 1
Splitting principle → technique used to reduce questions about vector bundles to the case of line bundles
see also · 1
Splitting principle → Grothendieck

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Important terminology

bundles vector line displaystyle splitting principle colon rightarrow theorem chern classes direct often also complex cohomology xi bundle space injective

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Splitting principleis atechnique used to reduce questions about vector bundles to the case of line bundles0.90text
Splitting principlerelated to StatementOne0.60section
Splitting principlerelated to StatementThis0.60section
Splitting principlerelated to StatementIt0.60section
Splitting principlerelated to StatementTheorem0.60section
Splitting principlerelated to StatementLet0.60section
Splitting principlerelated to StatementThere0.60section
Splitting principlerelated to StatementFl0.60section
Splitting principlesee alsoGrothendieck0.60section

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