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Lifting property

In mathematics, in particular in category theory, the lifting property is a property of a pair of morphisms in a category. It is used in homotopy theory within algebraic topology to define properties of morphisms starting from an explicitly given class of morphisms. It appears in a prominent way in the theory of model categories, an axiomatic framework…

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Lifting property

Nodes74
Edges73
Triples1
Avg. degree1.97
Density0.027027
Components1

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Lifting property

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is a · 1
Lifting property → property of a pair of morphisms in a category

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Important terminology

displaystyle perp class category morphisms ell mathbb lifting property maps topology iff group model closed two also injective right denote

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SubjectPredicateObjectConfidenceSrc
Lifting propertyis aproperty of a pair of morphisms in a category0.90text

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