Various notions of (co)simplicial (pre)sheaves

Timothy Hosgood

doi:10.46298/cm.10359

Timothy Hosgood - Various notions of (co)simplicial (pre)sheaves

cm:10359 - Communications in Mathematics, January 27, 2023, Volume 32 (2024), Issue 1 - https://doi.org/10.46298/cm.10359

Various notions of (co)simplicial (pre)sheavesArticle

Authors: Timothy Hosgood

The phrase "(co)simplicial (pre)sheaf" can be reasonably interpreted in multiple ways. In this survey we study how the various notions familiar to the author relate to one another. We end by giving some example applications of the most general of these notions.

Comment: 20 pages, comments welcome

https://doi.org/10.46298/cm.10359

Source: arXiv.org:2205.15185

Volume: Volume 32 (2024), Issue 1

Published on: January 27, 2023

Accepted on: January 17, 2023

Submitted on: November 23, 2022

Keywords: Mathematics - Category Theory

Licence: Attribution-Non Commercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)