# nLab prism

### Context

#### Higher category theory

higher category theory

## Overview

The category of prisms is one of the geometric shapes for higher structures. The resulting presheaves of sets are known as multisimplicial sets?. These were used by Laures and McClure in their work on Quinn spectra?.

## Definition

The category of $n$-fold prisms is the $n$-fold product of the category of simplices $\Delta$.

Presheaves on this category are known as $n$-fold multisimplicial sets.

Restricting to injective maps of simplices, we get $n$-fold multisemisimplicial sets.

## References

Last revised on January 8, 2020 at 04:51:36. See the history of this page for a list of all contributions to it.