Author: Urs Format: MarkdownItexI 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 $(\infty,1)Toposes$?
<a href="https://ncatlab.org/nlab/revision/diff/%28infinity%2C1%29Topos/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/%28infinity%2C1%29Topos/9">v9</a>, <a href="https://ncatlab.org/nlab/show/%28infinity%2C1%29Topos">current</a>
I thought we had a reference for this on the Lab, but now I don’t find it:
What’s a citation for the statement that is the terminal object in ?
Author: Hurkyl Format: MarkdownItexThe 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.
<a href="https://ncatlab.org/nlab/revision/diff/%28infinity%2C1%29Topos/10">diff</a>, <a href="https://ncatlab.org/nlab/revision/%28infinity%2C1%29Topos/10">v10</a>, <a href="https://ncatlab.org/nlab/show/%28infinity%2C1%29Topos">current</a>
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.
Author: Hurkyl Format: MarkdownItexAdded the fact that colimits in a topos induce colimits of slice toposes.
<a href="https://ncatlab.org/nlab/revision/diff/%28infinity%2C1%29Topos/10">diff</a>, <a href="https://ncatlab.org/nlab/revision/%28infinity%2C1%29Topos/10">v10</a>, <a href="https://ncatlab.org/nlab/show/%28infinity%2C1%29Topos">current</a>
Added the fact that colimits in a topos induce colimits of slice toposes.