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Results tagged with ct.category-theory
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user 6082
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
0
votes
Accepted
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!
- 163
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) ; …
- 163
3
votes
2
answers
1k
views
is the presheaf category of a locally small category locally small?
e.g. is $\widehat{\mathbf{SET}}$ locally small?
- 163