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Joey Hirsh
Joey Hirsh
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Is there a bicategory $V$ and a definition of monoid in a bicategory so that $\text{Monoids}(V)$ is the category of groups and homomorphisms?

EDIT: For example, is there a bicategory $V$ so that Monad(V) is the category of groups and group homomorphisms?

Is there a bicategory $V$ and a definition of monoid in a bicategory so that $\text{Monoids}(V)$ is the category of groups and homomorphisms?

Is there a bicategory $V$ and a definition of monoid in a bicategory so that $\text{Monoids}(V)$ is the category of groups and homomorphisms?

EDIT: For example, is there a bicategory $V$ so that Monad(V) is the category of groups and group homomorphisms?

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Joey Hirsh
Joey Hirsh
  • 1k
  • 6
  • 17

Can groups be recovered as "monoids" in a bicategory?

Is there a bicategory $V$ and a definition of monoid in a bicategory so that $\text{Monoids}(V)$ is the category of groups and homomorphisms?