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arXiv · 2312.12356

Every theory is eventually of presheaf type

Christian Espíndola·Kristóf Kanalas
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Abstract

We give a detailed and self-contained introduction to the theory of $λ$-toposes and prove the following: 1) A $λ$-separable $λ$-topos has enough $λ$-points. 2) The classifying $λ$-topos of a $κ$-site $(\mathcal{C},E)$ is a presheaf topos (assuming $κ\vartriangleleft λ=λ^{<λ}$, $|\mathcal{C}|,|E|<λ$).

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Christian Espíndola, Kristóf Kanalas. 2025-02-24. Every theory is eventually of presheaf type. https://arxiv.org/abs/2312.12356

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