{"paper":{"title":"C-system of a module over a $Jf$-relative monad","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.LO","authors_text":"Vladimir Voevodsky","submitted_at":"2016-02-01T00:35:00Z","abstract_excerpt":"Let $F$ be the category with the set of objects $\\bf N$ and morphisms being the functions between the standard finite sets of the corresponding cardinalities. Let $Jf:F\\rightarrow Sets$ be the obvious functor from this category to the category of sets. In this paper we construct, for any relative monad $\\bf RR$ on $Jf$ and a left module $\\bf LM$ over $\\bf RR$, a C-system $C({\\bf RR},{\\bf LM})$ and explicitly compute the action of the B-system operations on its B-sets.\n  In the following paper it is used to provide a rigorous mathematical approach to the construction of the C-systems underlying"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.00352","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}