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Category Theory and Algebra

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Multiple Choice

In category theory, what is a functor?

  1. A mapping between two categories that preserves the structure of the categories.
  2. A function between two sets that preserves the structure of the sets.
  3. A relation between two sets that preserves the structure of the sets.
  4. A mapping between two categories that preserves the structure of the categories and their morphisms.
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