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Bibliographic Details
Main Authors: Giotopoulos, Grigorios, Khavkine, Igor, Sati, Hisham, Schreiber, Urs
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2601.15862
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Table of Contents:
  • We have previously observed that the theory of solutions of partial differential equations, regarded as diffieties inside jet bundles, acquires a powerful comonadic formulation after passage from the category of Fréchet smooth manifolds to the Cahiers topos of formal smooth sets (a well-adapted model for Synthetic Differential Geometry). However, the tacit assumption that this passage preserves the projective limits that define infinite jet bundles had remained unproven. Here we provide a detailed proof.