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

2 votes
1 answer
300 views

Is there an analog of adjoint functor theorem for adjunctions of two variables?

Let $L:\mathscr A \times \mathscr B \longrightarrow \mathscr C$ and $R_1:\mathscr B^{op} \times \mathscr C \longrightarrow \mathscr A$ be two functors such that there is a bijection $$ \mathscr C(L(A …
Dimitri Zaganidis's user avatar
1 vote

"Axiom of global choice"

I think that you should place yourself in ZFC+ existence of strongly innaccessible cardinals. Then the existence of a strongly inaccessible cardinal provides you a universe as in Borceux's Handbook of …
Dimitri Zaganidis's user avatar