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Discrete Mathematics & Math
Q94 / 100
What are category theory's functors and natural transformations?
Correct! Well done.
Incorrect.
The correct answer is B) Functors are structure-preserving maps between categories; natural transformations are structure-preserving maps between functors — the framework for "abstract nonsense" in mathematics
B
Correct Answer
Functors are structure-preserving maps between categories; natural transformations are structure-preserving maps between functors — the framework for "abstract nonsense" in mathematics
Explanation
Category theory: objects + morphisms. Functor F:C→D maps objects to objects and morphisms to morphisms preserving composition. Natural transformation η:F⟹G maps components faithfully. Monads = functors with unit and multiplication.
Progress
94/100