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Autor:
Menni, Matí as
Publikováno v:
Volume 459, December 2024, 110029
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
Externí odkaz:
http://arxiv.org/abs/2411.19863
Autor:
Menni, Matí as
Publikováno v:
Theory and Applications of Categories, Vol. 42, 2024, No. 8, pp 172-179
Let $p: \mathcal{E} \to \mathcal{S}$ be a pre-cohesive geometric morphism. We show that the least subtopos of $\mathcal{E}$ containing both the subcategories $p^*: \mathcal{S} \to \mathcal{E}$ and $p^!: \mathcal{S} \to \mathcal{E}$ exists, and that i
Externí odkaz:
http://arxiv.org/abs/2408.00514
Autor:
Menni, Matí as
Experience shows that the poset of levels (or dimensions) of the topos of presheaves on some elegant Reedy categories may be equipped with a monotone increasing `successor' function which, as the case of simplicial sets shows, is different from Lawve
Externí odkaz:
http://arxiv.org/abs/2308.04584