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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeJul 18th 2020

I thought we had a reference for this on the $n$Lab, but now I don’t find it:

What’s a citation for the statement that $\infty Groupoids$ is the terminal object in $(\infty,1)Toposes$?

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJul 18th 2020

Ah, never mind, it’s 6.3.4.1 in HTT. Am adding it….

• CommentRowNumber3.
• CommentAuthorHurkyl
• CommentTimeNov 24th 2020

The proposition describing colimits of toposes appeared twice. I’m pretty sure the first version is wrong – it asserted colimits of toposes are given by colimits of the direct image parts.

• CommentRowNumber4.
• CommentAuthorHurkyl
• CommentTimeNov 24th 2020

Added the fact that colimits in a topos induce colimits of slice toposes.