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Category Theory
Objects, arrows, functors, universal properties: mathematics about mathematics.
Сургамж
{1,2} union {3}
Advanced
Universal properties, limits and adjunctions
Products, coproducts, limits and the adjunctions that unify constructions.
lcm(4, 6)
Instead of asking what things are, ask how they map to each other. Category theory finds the same pattern (a product, a limit, an adjunction) recurring across every branch, and gives it one name.
Сургамж
Objects and arrows
Universal constructions
Structures
Зарим хичээлүүд нь нээлттэй текстээс авсан: Wikipedia. Сургалтын хуудас бүрийн эх үүсвэр, лицензийг тодорхойлно.
Энд ашигласан тэмдэгтүүд
Бүх тодорхойлолт, зураг, үсгийн утгыг харахын тулд ямар ч тэмдэгтийг дарна уу.
Хүмүүс асуудаг асуултууд
What is a functor?
A map between categories that sends objects to objects and arrows to arrows while respecting composition. Taking the fundamental group of a space is a functor from spaces to groups.
Тоглоомын хуудаснаа бичээд эсвэл зур. Бүх алхам, зураг, хариулт нь асуулт асуух хүртэл нуугдаж байдаг. Засварлах →
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