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1. • CommentRowNumber1.
   • CommentAuthorGuest
   • CommentTimeMay 21st 2023
   • PermaLink
   Author: Guest
   Format: MarkdownItexstarting page on Segal types <a href="https://ncatlab.org/nlab/revision/Segal+type/1">v1</a>, <a href="https://ncatlab.org/nlab/show/Segal+type">current</a>

   starting page on Segal types

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMay 21st 2023
   • (edited May 21st 2023)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI you have ambition to create more entries on this topic (which would certainly be appreciated!) it might help if we replaced the lengthy list of "context menus" in the top right by one new dedicated list *[[directed homotopy type theory -- contents]]*.

   I you have ambition to create more entries on this topic (which would certainly be appreciated!) it might help if we replaced the lengthy list of “context menus” in the top right by one new dedicated list directed homotopy type theory – contents.

3. • CommentRowNumber3.
   • CommentAuthornLab edit announcer
   • CommentTimeJun 2nd 2023
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexAdded link to [[Segal space]] in "Related concepts". It might be useful to expand the relationship between Segal types and Segal spaces - especially since apparently the semantics of simplicial type theory are in bisimplicial sets, and Segal spaces are defined using bisimplicial sets. But I'm not too familiar with the latter theory so I'll leave that to somebody who is well versed in both. Anna Kowalski <a href="https://ncatlab.org/nlab/revision/diff/Segal+type/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/Segal+type/4">v4</a>, <a href="https://ncatlab.org/nlab/show/Segal+type">current</a>

   Added link to Segal space in “Related concepts”.

   It might be useful to expand the relationship between Segal types and Segal spaces - especially since apparently the semantics of simplicial type theory are in bisimplicial sets, and Segal spaces are defined using bisimplicial sets. But I’m not too familiar with the latter theory so I’ll leave that to somebody who is well versed in both.

   Anna Kowalski

   diff, v4, current

4. • CommentRowNumber4.
   • CommentAuthornLab edit announcer
   • CommentTimeJan 1st 2024
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexwhen it says that "given elements $x:A$, $y:A$, and $z:A$ and morphisms $f:\mathrm{hom}_A(x, y)$ and $g:\mathrm{hom}_A(x, y)$" it should really say "given elements $x:A$, $y:A$, and $z:A$ and morphisms $f:\mathrm{hom}_A(x, y)$ and $g:\mathrm{hom}_A(y, z)$" Thomas Collier <a href="https://ncatlab.org/nlab/revision/diff/Segal+type/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/Segal+type/6">v6</a>, <a href="https://ncatlab.org/nlab/show/Segal+type">current</a>

   when it says that “given elements $x:A$, $y:A$, and $z:A$ and morphisms $f:\mathrm{hom}_A(x, y)$ and $g:\mathrm{hom}_A(x, y)$”

   it should really say “given elements $x:A$, $y:A$, and $z:A$ and morphisms $f:\mathrm{hom}_A(x, y)$ and $g:\mathrm{hom}_A(y, z)$”

   Thomas Collier

   diff, v6, current

5. • CommentRowNumber5.
   • CommentAuthornLab edit announcer
   • CommentTimeAug 9th 2024
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexAdded reference * {#GWB24} [[Daniel Gratzer]], [[Jonathan Weinberger]], [[Ulrik Buchholtz]], *Directed univalence in simplicial homotopy type theory* ([arXiv:2407.09146](https://arxiv.org/abs/2407.09146)) Anonymouse <a href="https://ncatlab.org/nlab/revision/diff/Segal+type/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/Segal+type/7">v7</a>, <a href="https://ncatlab.org/nlab/show/Segal+type">current</a>

   Added reference

   • {#GWB24} Daniel Gratzer, Jonathan Weinberger, Ulrik Buchholtz, Directed univalence in simplicial homotopy type theory (arXiv:2407.09146)

   Anonymouse

   diff, v7, current

6. • CommentRowNumber6.
   • CommentAuthorjonsterling
   • CommentTimeOct 5th 2024
   • PermaLink
   Author: jonsterling
   Format: MarkdownItexCorrect the definition of the horn. <a href="https://ncatlab.org/nlab/revision/diff/Segal+type/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/Segal+type/9">v9</a>, <a href="https://ncatlab.org/nlab/show/Segal+type">current</a>

   Correct the definition of the horn.

   diff, v9, current

7. • CommentRowNumber7.
   • CommentAuthorjonsterling
   • CommentTimeOct 5th 2024
   • PermaLink
   Author: jonsterling
   Format: MarkdownItexRevert my last change, as I misread the original text and what was there was already correct. Sorry for the noise! <a href="https://ncatlab.org/nlab/revision/diff/Segal+type/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/Segal+type/9">v9</a>, <a href="https://ncatlab.org/nlab/show/Segal+type">current</a>

   Revert my last change, as I misread the original text and what was there was already correct. Sorry for the noise!

   diff, v9, current