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1. • CommentRowNumber1.
   • CommentAuthornLab edit announcer
   • CommentTimeJun 6th 2022
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexcopied from HoTT wiki Anonymous <a href="https://ncatlab.org/nlab/revision/model+of+type+theory+in+an+%28infinity%2C1%29-topos/1">v1</a>, <a href="https://ncatlab.org/nlab/show/model+of+type+theory+in+an+%28infinity%2C1%29-topos">current</a>

   copied from HoTT wiki

   Anonymous

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 17th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Michael Shulman]], _All $(\infty,1)$-toposes have strict univalent universes_ ([arXiv:1904.07004](https://arxiv.org/abs/1904.07004)) * [[Emily Riehl]], *On the $\infty$-topos semantics of homotopy type theory*, lecture at *[Logic and higher structures](https://conferences.cirm-math.fr/2689.html)* CIRM (Feb. 2022) $[$[pdf](https://emilyriehl.github.io/files/semantics.pdf), [[Riehl-InfinityToposSemantics.pdf:file]]$]$ Notice that we have a bunch of entries on this point, which overlap a lot but tend to get out of sync: 1. [[model of type theory in an (infinity,1)-topos]] 1. [[Awodey's conjecture]] 1. [[relation between type theory and category theory]] Finally there is * [[categorical model of dependent types]] which should cross-link with all these entries, but doesn't. I'll try to add some links now. But where is the Anonymous army of HoTT-topic editors when one needs them? :-) <a href="https://ncatlab.org/nlab/revision/diff/model+of+type+theory+in+an+%28infinity%2C1%29-topos/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/model+of+type+theory+in+an+%28infinity%2C1%29-topos/4">v4</a>, <a href="https://ncatlab.org/nlab/show/model+of+type+theory+in+an+%28infinity%2C1%29-topos">current</a>

   added pointer to:

   • Michael Shulman, All $(\infty,1)$-toposes have strict univalent universes (arXiv:1904.07004)

   • Emily Riehl, On the $\infty$-topos semantics of homotopy type theory, lecture at Logic and higher structures CIRM (Feb. 2022) $[$pdf, Riehl-InfinityToposSemantics.pdf:file$]$

   Notice that we have a bunch of entries on this point, which overlap a lot but tend to get out of sync:

   1. model of type theory in an (infinity,1)-topos

   2. Awodey’s conjecture

   3. relation between type theory and category theory

   Finally there is

   • categorical model of dependent types

   which should cross-link with all these entries, but doesn’t. I’ll try to add some links now. But where is the Anonymous army of HoTT-topic editors when one needs them? :-)

   diff, v4, current