→ Category Theory

ማስተማሪያ

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.

ተጨማሪ ትምህርት

ከእነዚህ ትምህርት ቤቶች ውስጥ አንዳንዶቹ ከከፈቱ ጽሑፎች የተወሰዱ ናቸው፡ Wikipedia. Each lesson page names its source and licence.

ፊደላት

ለሙሉ መግለጫ፣ ምስል፣ እና በውስጡ ያለውን ፊደል ትርጓሜ ለማየት ማንኛውንም ምልክት ይጫኑ።

F: \mathcal{C} \to \mathcal{D}functor, natural transformation
A structure-preserving map between categories; a map between functors.\operatorname{Hom}(Aarrows from A to B, composition
The set of morphisms; do g then f.

ጥያቄዎች

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.

∑ የራስህ ችግር አለህ?
በፍታ ገጽ ላይ ጻፍ ወይም ጫን፦ እርምጃ ሁሉ፣ ምስል፣ መልሱ እስከምትጠይቅ ድረስ የተደበቀ ነው። መተላለፊያ →

ሌሎች

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