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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.15862 |
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| _version_ | 1866908781523238912 |
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| author | Giotopoulos, Grigorios Khavkine, Igor Sati, Hisham Schreiber, Urs |
| author_facet | Giotopoulos, Grigorios Khavkine, Igor Sati, Hisham Schreiber, Urs |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15862 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Synthetic Differential Jet Bundles are Reduced Giotopoulos, Grigorios Khavkine, Igor Sati, Hisham Schreiber, Urs Differential Geometry Mathematical Physics Category Theory Primary: 58A03, 51K10, Secondary: 18F15, 35A30 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. |
| title | Synthetic Differential Jet Bundles are Reduced |
| topic | Differential Geometry Mathematical Physics Category Theory Primary: 58A03, 51K10, Secondary: 18F15, 35A30 |
| url | https://arxiv.org/abs/2601.15862 |