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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

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Kleisli Monad bijection

In fact, the Kleisli star is a partial map ${}^* : \mathrm{Mor}(\mathbf{C}) \times \mathrm{Obj}(\mathbf{C}) \times \mathrm{Obj}(\mathbf{C}) \to \mathrm{Mor}(\mathbf{C})$. So there is no problem!
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3 votes
3 answers
648 views

Kleisli Monad bijection

For a monad $(T,\mu,\eta)$ if $T(A) = T(B)$, does this imply that $\mu_A = \mu_B$? I want to know because in the bijection between Kleisli triples and monads, given a monad, we define $f^* := T(f) ; …
user6082's user avatar
  • 163
3 votes
2 answers
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is the presheaf category of a locally small category locally small?

e.g. is $\widehat{\mathbf{SET}}$ locally small?
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