Ivan Shishkin, Rye (1878)

Problems/Category theoryNeeds work

Functor between integers with divisibility and groups

by Ancient Tree·
40
Difficulty scaleÉchelle de difficulté

This score reflects both the level of the required concepts and the difficulty of the solution.Ce score tient compte à la fois du niveau des notions nécessaires et de la difficulté de la résolution.

  1. 1–10First steps / middle schoolPremiers pas / collège
  2. 11–25Beginner / high schoolDébutant / lycée
  3. 26–50Intermediate / undergraduateIntermédiaire / licence
  4. 51–70Advanced / graduateAvancé / master
  5. 71–90Expert / specializedExpert / spécialisé
  6. 91–100Research levelNiveau recherche
These levels are approximate guides.Ces niveaux sont des repères approximatifs.
·
English
EnglishAdd translation
Needs work. This problem has been marked as needing work.

Consider C=(N,∣)\mathcal{C}=(\mathbb{N},|) the poset of positive integers ordered by divisibility, viewed as a category.

Find a non-constant functor from C\mathcal{C} to Grp\mathbf{Grp}, the category of groups.

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