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Aug 7, 2021 at 2:23 comment added Martin Brandenburg "I already asked this on math.SE but I didn't get an answer" Well, I left a comment there with which you could have find an answer yourself. (math.stackexchange.com/questions/4217568) Notice that Dmitri's answer exactly follows that suggestion.
Aug 6, 2021 at 21:47 vote accept user333306
Aug 6, 2021 at 18:41 comment added Tim Campion Are the reductions you give meant to be "if and only if" reductions? Clearly if $Loc \to Topos$ and $Top \to Loc$ had these additional adjoints then so would $Top \to Topos$, but the converse is not clear (to me) (though see my comment on Dmitri Pavlov's answer below).
Aug 6, 2021 at 18:28 comment added Tim Campion Are your toposes Grothendieck toposes?
Aug 6, 2021 at 18:27 answer added Dmitri Pavlov timeline score: 10
Aug 6, 2021 at 17:20 history asked user333306 CC BY-SA 4.0