Autor:	Menni, Matí as
Rok vydání:	2024
Předmět:	Mathematics - Category Theory 03G30 14F06 18B25 55U10
Zdroj:	Volume 459, December 2024, 110029
Druh dokumentu:	Working Paper
DOI:	10.1016/j.aim.2024.110029
Popis:	To each simplicial set $X$ we naturally assign an \'etendue ${\'E X}$ whose internal logic captures information about the geometry of $X$. In particular, we show that, for 'non-singular' objects $X$ and $Y$, the \'etendues ${\'E X}$ and ${\'E Y}$ 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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.19863 Zobrazit plný text záznamu View this record from Arxiv