↧
Answer by Maxime Ramzi for What are the centre and trace of the simplex...
The center is trivial : as Benjamin said in the comments, an endomorphism of the identity is the identity on $\Delta^0$, and using the maps $\Delta^0\to \Delta^n$ you find that any endomorphism of the...
View ArticleWhat are the centre and trace of the simplex category?
The centre of a category $\mathcal{C}$ is the set $\mathrm{Z}(\mathcal{C})$ defined by$$\begin{align*}\mathrm{Z}(\mathcal{C}) &\mathbin{\overset{\mathrm{def}}{=}}...
View Article
Image may be NSFW.
Clik here to view.
Clik here to view.
Answer by Emily for What are the centre and trace of the simplex category?
$\newcommand{\Fix}{\mathrm{Fix}}\newcommand{\N}{\mathbb{N}}\newcommand{\id}{\mathrm{id}}\newcommand{\End}{\mathrm{End}}\newcommand{\Tr}{\mathrm{Tr}}\newcommand{\tr}{\mathrm{tr}}$Here are some extra...
View Article