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Opposite category

In category theory, a branch of mathematics, the opposite category or dual category C op {\displaystyle C^{\text{op}}} of a given category C {\displaystyle C} is formed by reversing the morphisms, i.e. interchanging the source and target of each morphism. Doing the reversal twice yields the original category, so the opposite of an opposite category is…

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Opposite category

Nodes46
Edges45
Triples43
Avg. degree1.96
Density0.043478
Components1

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Opposite category

Top relations

related to References · 28
Opposite category → Awodey, Categories, Category, Category Theory, Dual Category, EMS PressMac Lane, Encyclopedia, George, Heldermann, Herrlich, Horst, ISBN, Mathematics, New York, NY, OCLC, Opposite, Oxford, Oxford University Press, Pure Mathematics
related to Examples · 14
Opposite category → Again, An, Boolean, By, Clearly, Gelfand, Given, Hausdorff, Naimark, So, Stone, The, The Pontryagin, Von Neumann
is a · 1
Opposite category → original category itself

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Important terminology

category opposite theory mathematics op dual displaystyle text semigroup duality equivalent isbn set given reversing construction also homomorphisms oclc morphisms

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Opposite categoryis aoriginal category itself0.90text
Opposite categoryrelated to ExamplesAn0.60section
Opposite categoryrelated to ExamplesSo0.60section
Opposite categoryrelated to ExamplesGiven0.60section
Opposite categoryrelated to ExamplesClearly0.60section
Opposite categoryrelated to ExamplesAgain0.60section
Opposite categoryrelated to ExamplesThe0.60section
Opposite categoryrelated to ExamplesBoolean0.60section
Opposite categoryrelated to ExamplesStone0.60section
Opposite categoryrelated to ExamplesThe Pontryagin0.60section
Opposite categoryrelated to ExamplesHausdorff0.60section
Opposite categoryrelated to ExamplesBy0.60section

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    Min side: 3
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