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Stream: theory: category theory

Topic: virtual double category with units


view this post on Zulip Patrick Nicodemus (May 30 2026 at 01:55):

In the "unified theory of generalized multicategories" paper by cruttwell and shulman it is claimed that if a virtual double category has all units then for any vertical 1-cell f there is an associated 2-cell U_f between the horizontal units. How is this defined?

view this post on Zulip Patrick Nicodemus (May 30 2026 at 02:11):

It must be some kind of creative appeal to the definition of opcartesian but I don't get it

view this post on Zulip Evan Patterson (May 30 2026 at 03:29):

I got tripped up on this once myself. The answer is in this thread.

view this post on Zulip Patrick Nicodemus (May 30 2026 at 11:39):

Nullary composition of two cells. Ahhh.