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1. • CommentRowNumber1.
   • CommentAuthorEmily Riehl
   • CommentTimeJun 10th 2019
   • PermaLink
   Author: Emily Riehl
   Format: MarkdownItexThis page proposes a notion of split pushout (of epimorphisms) that is then an absolute pushout "for equational reasons." <a href="https://ncatlab.org/nlab/revision/absolute+pushouts/1">v1</a>, <a href="https://ncatlab.org/nlab/show/absolute+pushouts">current</a>

   This page proposes a notion of split pushout (of epimorphisms) that is then an absolute pushout “for equational reasons.”

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeJun 10th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexJust to say that I changed the page name to singular. <a href="https://ncatlab.org/nlab/revision/diff/absolute+pushout/3">diff</a>, <a href="https://ncatlab.org/nlab/revision/absolute+pushout/3">v3</a>, <a href="https://ncatlab.org/nlab/show/absolute+pushout">current</a>

   Just to say that I changed the page name to singular.

   diff, v3, current

3. • CommentRowNumber3.
   • CommentAuthorMike Shulman
   • CommentTimeJun 10th 2019
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexNice, thanks! The notion of [[split coequalizer]] is the "case $n=1$" of a complete characterization of all [[absolute coequalizers]] that can be obtained by unraveling what it means for a coequalizer to be preserved by all representable functors. I presume there is a similar characterization of all absolute pushouts; have you looked into it?

   Nice, thanks! The notion of split coequalizer is the “case $n=1$” of a complete characterization of all absolute coequalizers that can be obtained by unraveling what it means for a coequalizer to be preserved by all representable functors. I presume there is a similar characterization of all absolute pushouts; have you looked into it?

4. • CommentRowNumber4.
   • CommentAuthorMike Shulman
   • CommentTimeApr 14th 2020
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   Author: Mike Shulman
   Format: MarkdownItexAdded a general characterization of all absolute pushouts, analogous to the one at [[absolute coequalizer]]. <a href="https://ncatlab.org/nlab/revision/diff/absolute+pushout/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/absolute+pushout/6">v6</a>, <a href="https://ncatlab.org/nlab/show/absolute+pushout">current</a>

   Added a general characterization of all absolute pushouts, analogous to the one at absolute coequalizer.

   diff, v6, current