A limit lifting theorem for fibrations between bicategories
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915480167514112 |
|---|---|
| author | Nicodemus, Patrick |
| author_facet | Nicodemus, Patrick |
| contents | A standard result from the theory of Grothendieck fibrations states that if $p : E \to B$ is a fibration, then $E$ has limits of shape $\mathcal{J}$ if $B$ has limits of shape $\mathcal{J}$ the fibers of $\mathcal{E}$ have limits of shape $\mathcal{J}$, and the reindexing functors preserve these limits. Such a result is a basic tool when computing limits in a category known to be the total category of a fibration, for example, one that is defined using the Grothendieck construction. This paper states and proves a generalization of this theorem for fibrations between bicategories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04639 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A limit lifting theorem for fibrations between bicategories Nicodemus, Patrick Category Theory A standard result from the theory of Grothendieck fibrations states that if $p : E \to B$ is a fibration, then $E$ has limits of shape $\mathcal{J}$ if $B$ has limits of shape $\mathcal{J}$ the fibers of $\mathcal{E}$ have limits of shape $\mathcal{J}$, and the reindexing functors preserve these limits. Such a result is a basic tool when computing limits in a category known to be the total category of a fibration, for example, one that is defined using the Grothendieck construction. This paper states and proves a generalization of this theorem for fibrations between bicategories. |
| title | A limit lifting theorem for fibrations between bicategories |
| topic | Category Theory |
| url | https://arxiv.org/abs/2509.04639 |