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1. • CommentRowNumber1.
   • CommentAuthornLab edit announcer
   • CommentTimeJun 9th 2022
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexPage created, but author did not leave any comments. Anonymous <a href="https://ncatlab.org/nlab/revision/pushout+type/1">v1</a>, <a href="https://ncatlab.org/nlab/show/pushout+type">current</a>

   Page created, but author did not leave any comments.

   Anonymous

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 9th 2022
   • PermaLink
   Author: Urs
   Format: MarkdownItexShould this not be named "homotopy pushout type"? To leave room for an entry on actual h-set pushouts?

   Should this not be named “homotopy pushout type”? To leave room for an entry on actual h-set pushouts?

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJan 2nd 2023
   • (edited Jan 2nd 2023)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Egbert Rijke]], *Homotopy pushouts* &lbrack;[pdf](https://www.andrew.cmu.edu/user/erijke/hott/pushout.pdf)&rbrack;, Lecture 13 in: *Introduction to Homotopy Type Theory*, lecture notes, CMU (2018) &lbrack;[pdf](http://www.andrew.cmu.edu/user/erijke/hott/hott_intro.pdf), [webpage](https://www.andrew.cmu.edu/user/erijke/hott/)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/pushout+type/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/pushout+type/3">v3</a>, <a href="https://ncatlab.org/nlab/show/pushout+type">current</a>

   added pointer to:

   • Egbert Rijke, Homotopy pushouts [pdf], Lecture 13 in: Introduction to Homotopy Type Theory, lecture notes, CMU (2018) [pdf, webpage]

   diff, v3, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJan 2nd 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have spelled out ([here](https://ncatlab.org/nlab/show/pushout+type#InferenceRules)) what I gather are the full inference rules for homotopy pushout types. In doing so, i am taking the liberty of not following the traditional term labelling conventions but making more suggestive choices. <a href="https://ncatlab.org/nlab/revision/diff/pushout+type/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/pushout+type/3">v3</a>, <a href="https://ncatlab.org/nlab/show/pushout+type">current</a>

   I have spelled out (here) what I gather are the full inference rules for homotopy pushout types.

   In doing so, i am taking the liberty of not following the traditional term labelling conventions but making more suggestive choices.

   diff, v3, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeJan 3rd 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * [[Kuen-Bang Hou]] ([[Favonia]]), [[Eric Finster]], [[Dan Licata]], [[Peter LeFanu Lumsdaine]], p. 4 of: *A mechanization of the Blakers-Massey connectivity theorem in Homotopy Type Theory*, LICS '16 (2016) 565–574 &lbrack;[arXiv.1605.03227](https://arxiv.org/abs/1605.03227), [doi:10.1145/2933575.2934545](https://doi.org/10.1145/2933575.2934545)&rbrack; for the actual statement of the inference rules <a href="https://ncatlab.org/nlab/revision/diff/pushout+type/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/pushout+type/4">v4</a>, <a href="https://ncatlab.org/nlab/show/pushout+type">current</a>

   added pointer to

   • Kuen-Bang Hou (Favonia), Eric Finster, Dan Licata, Peter LeFanu Lumsdaine, p. 4 of: A mechanization of the Blakers-Massey connectivity theorem in Homotopy Type Theory, LICS ’16 (2016) 565–574 [arXiv.1605.03227, doi:10.1145/2933575.2934545]

   for the actual statement of the inference rules

   diff, v4, current