Hom functor

Summary

Hom functor ranks in the top 2% of general entities by monthly Wikipedia readership (120 views/month).^[1]

Key Facts

• Hom functor's subclass of is recorded as functor^[2].
• Hom functor's part of is recorded as six operations^[3].
• Hom functor's Freebase ID is recorded as /m/080747^[4].
• Hom functor's defining formula is recorded as \begin{aligned}\hom(A,-)\colon\mathcal C&\to\operatorname{Set}\X&\mapsto \hom(A,X)\(f\colon X\to Y)&\mapsto(f\circ\colon\hom(A,X)\to\hom(A,Y))\end{aligned}^[5].
• Hom functor's MathWorld ID is recorded as Hom^[6].
• Hom functor's nLab ID is recorded as hom-functor^[7].
• Hom functor's maintained by WikiProject is recorded as WikiProject Mathematics^[8].
• Hom functor's Microsoft Academic ID is recorded as 2778690053^[9].
• Hom functor's ProofWiki ID is recorded as Definition:Hom_Functor^[10].
• Hom functor's in defining formula is recorded as \hom^[11].
• Hom functor's in defining formula is recorded as \mathcal C^[12].
• Hom functor's in defining formula is recorded as \operatorname{Set}^[13].
• Hom functor's in defining formula is recorded as X^[14].
• Hom functor's in defining formula is recorded as Y^[15].
• Hom functor's in defining formula is recorded as f^[16].
• Hom functor's in defining formula is recorded as \circ^[17].
• Hom functor's in defining formula is recorded as A^[18].
• Hom functor's Metamath statement ID is recorded as df-hof^[19].

Why It Matters

Hom functor ranks in the top 2% of general entities by monthly Wikipedia readership (120 views/month).^[1] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.^[20] It is known by 4 alternative names across languages and contexts.^[21]