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Mar 5, 2019 at 20:53 comment added Ivan Di Liberti Yes, probably, I was just making the point that I do not believe that it is $\kappa$-accessible in general.
Mar 5, 2019 at 16:00 history edited Ivan Di Liberti CC BY-SA 4.0
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Mar 5, 2019 at 15:58 comment added Reid Barton Right, this is another route to the local presentability of the internal Hom (I think it is also the one used in Higher Topos Theory). Since it passes through the theory of accessible categories I expect that it would give much worse bounds on the rank of presentability than an argument like the one in Bird's thesis.
Mar 5, 2019 at 15:49 history edited Ivan Di Liberti CC BY-SA 4.0
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Mar 5, 2019 at 15:38 history undeleted Ivan Di Liberti
Mar 5, 2019 at 15:38 history edited Ivan Di Liberti CC BY-SA 4.0
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Mar 5, 2019 at 15:11 history deleted Ivan Di Liberti via Vote
Mar 5, 2019 at 15:11 history edited Ivan Di Liberti CC BY-SA 4.0
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Mar 5, 2019 at 15:06 history answered Ivan Di Liberti CC BY-SA 4.0