Want to take part in these discussions? Sign in if you have an account, or apply for one below
Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
Added:
The category of simplices $\Delta$ is an Eilenberg–Zilber category.
The wreath product of $\Delta$ and an EZ-category (also known as the $\Theta$-construction) is again an EZ-category (Bergner–Rezk, Proposition 4.3). In particular, Joyal’s category $\Theta_n$ is an EZ-category for all $n\ge0$.
Segal’s category $\Gamma$ (used to define Gamma-spaces) is an EZ-category (Berger–Moerdijk, Examples 6.8).
The category of symmetric simplices (inhabited finite sets and their maps) is an EZ-category (Berger–Moerdijk, Examples 6.8).
The cyclic category $\Lambda$ and the category of trees $\Omega$ are EZ-categories (Berger–Moerdijk, Examples 6.8).
More generally, the total category $\mathbf{R}G$ of a crossed group $G$ on an EZ-category $\mathbf{R}$ whose underlying Reedy category is strict is itself an EZ-category (Berger–Moerdijk, Examples 6.8).
The category of cubes $Q$ (generated by faces and degeneracies, without connections, symmetries, reversals, or diagonals) is an EZ-category (Isaacson, Proposition 4.4).
The category of symmetric cubes with min-connections (Isaacson, Definition 3.4, Proposition 3.11) is an EZ-category (Isaacson, Proposition 4.4).
1 to 3 of 3