opposite category
category constructed from another category C, whose objects are the same as those of C, whose morphisms from X to Y are the same as the morphisms in C from Y to X
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opposite category
Summary
opposite category ranks in the top 2% of general entities by monthly Wikipedia readership (21 views/month).[1]
Key Facts
- opposite category's subclass of is recorded as category[2].
- opposite category's Freebase ID is recorded as /m/05fc6rx[3].
- opposite category's defining formula is recorded as \hom_{\mathcal C^{\operatorname{op}}}(X,Y) = \hom_{\mathcal C}(Y,X)[4].
- opposite category's nLab ID is recorded as opposite category[5].
- opposite category's maintained by WikiProject is recorded as WikiProject Mathematics[6].
- opposite category's Microsoft Academic ID is recorded as 135004863[7].
- opposite category's ProofWiki ID is recorded as Definition:Dual_Category[8].
- opposite category's in defining formula is recorded as \mathcal C^{\operatorname{op}}[9].
- opposite category's Namuwiki ID is recorded as 쌍대 범주[10].
- opposite category's ScienceDirect topic ID is recorded as mathematics/opposite-category[11].
Why It Matters
opposite category ranks in the top 2% of general entities by monthly Wikipedia readership (21 views/month).[1] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[12] It is known by 13 alternative names across languages and contexts.[13]