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Stream: learning: questions

Topic: Coequalizer of (polynomial) functors

Spencer Breiner (Feb 11 2025 at 18:13):

The category of polynomial functors (on sets) has coequalizer, but these are computed differently than coequalizers in the ambient category of endofunctors. I'd like to understand this better.

Can anyone with a good feel for this suggest an enlightening example to think about? :curious:

Kevin Carlson (Feb 11 2025 at 20:50):

Aren't there examples in the poly book?

Kevin Carlson (Feb 11 2025 at 20:55):

Specifically, the example David and Nelson suggest as illustrative is $y^2\rightrightarrows y.$ Have you tried something like that?