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WebA hom-set of a category is a set of morphisms of . See also Category , Category Theory , Functor , Morphism , Natural Isomorphism , Natural Transformation , Object , Strict …
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https://ncatlab.org/nlab/show/hom-setWebAug 16, 2022 · For locally small categories. Given objectsxxand yyin a locally small category, the hom-sethom(x,y)hom(x,y)is the collection of all morphisms from xxto yy. In …
- https://en.wiktionary.org/wiki/hom-set
Webhom-set (plural hom-sets) (category theory) The set or collection of all morphisms from A to B for some given ordered pair (A, B) of objects from some given category. Usage notes . …
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- https://en.wikipedia.org/wiki/Hom_functor
Let C be a locally small category (i.e. a category for which hom-classes are actually sets and not proper classes).
For all objects A and B in C we define two functors to the category of sets as follows:
Hom(A, –) : C → Set Hom(–, B) : C → Set This is a covariant functor given by…Let C be a locally small category (i.e. a category for which hom-classes are actually sets and not proper classes).
For all objects A and B in C we define two functors to the category of sets as follows:
Hom(A, –) : C → Set Hom(–, B) : C → Set This is a covariant functor given by…Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 5 mins
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- https://www.thefreedictionary.com/Hom-set
WebDefine Hom-set. Hom-set synonyms, Hom-set pronunciation, Hom-set translation, English dictionary definition of Hom-set. n. In mathematical category theory, a generalization or …
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WebApr 01, 2015 · 1 Answer. "Hom" stands for homomorphism, the usual name for structure preserving functions in algebra. I believe the terminology goes back to Eilenberg and Mac …
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