Hom-Set

up:: Category

Given two objects , we say that the collection of all morphisms from to is the collection . That is,

Examples

• A Vector Space Dual is the Hom-Set from a Vector Space to its Field .
• Between every object inside a category , there is a collection of morphisms
• A category is said to be Locally Small Category when all of its Hom-Sets are, in fact, sets

---

References

• Category (mathematics) - Wikipedia