Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.19863 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- To each simplicial set $X$ we naturally assign an étendue ${É X}$ whose internal logic captures information about the geometry of $X$. In particular, we show that, for 'non-singular' objects $X$ and $Y$, the étendues ${É X}$ and ${É Y}$ are equivalent if, and only if, $X$ and $Y$ have the same dimension. Many of the results apply to presheaf toposes over 'well-founded' sites.