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Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorEmily Riehl
• CommentTimeJun 10th 2019

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

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJun 10th 2019

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

• CommentRowNumber3.
• CommentAuthorMike Shulman
• CommentTimeJun 10th 2019

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?