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Add basic functors for the category of sets#211

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ScriptRaccoon merged 4 commits into
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add-basic-functors
May 27, 2026
Merged

Add basic functors for the category of sets#211
ScriptRaccoon merged 4 commits into
mainfrom
add-basic-functors

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@ScriptRaccoon ScriptRaccoon commented May 27, 2026

This PR adds these functors to the database and decides all of their properties:

  • the squaring functor $Set \to Set$, $X \mapsto X^2$
  • the doubling functor $Set \to Set$, $X \mapsto 2X$
  • the diagonal functor $Set \to Set \times Set$, $X \mapsto (X,X)$
  • the binary product functor $Set \times Set \to Set$, $(X,Y) \mapsto X \times Y$
  • the binary coproduct functor $Set \times Set \to Set$, $(X,Y) \mapsto X + Y$
  • the sequences functor $Set \to Set$, $X \mapsto X^{\omega}$
  • the countable copower functor $Set \to Set$, $X \mapsto \omega \times X$

@ScriptRaccoon ScriptRaccoon changed the title Add more basic functors for the category of sets Add seven basic functors for the category of sets May 27, 2026
@ScriptRaccoon ScriptRaccoon changed the title Add seven basic functors for the category of sets Add basic functors for the category of sets May 27, 2026
@ScriptRaccoon ScriptRaccoon merged commit ed6667b into main May 27, 2026
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@ScriptRaccoon ScriptRaccoon deleted the add-basic-functors branch May 27, 2026 17:26
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