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What is the name for the construction of this poset related to coherence of degeneracies of ...

Here’s one way to see it, if I’m not misunderstanding your definition. For a small category $\newcommand{\C}{\mathbf{C}}\C$, take its categorical nerve $\newcommand{\N}{\mathbf{N}}\N\C$ to be the fun …
Peter LeFanu Lumsdaine's user avatar