{"paper":{"title":"An equivalence between two models of $\\infty$-categories of enriched presheaves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.CT","authors_text":"Hadrian Heine","submitted_at":"2023-06-13T20:12:41Z","abstract_excerpt":"Let $\\mathcal{O} \\to \\mathrm{BM}$ be a $ \\mathrm{BM}$-operad that exhibits an $\\infty$-category $\\mathcal{D}$ as weakly bitensored over non-symmetric $\\infty$-operads $\\mathcal{V}, \\mathcal{W}$ and $\\mathcal{C}$ a $\\mathcal{V}$-enriched $\\infty$-precategory. We construct an equivalence $$\\mathrm{Fun}_{\\mathrm{Hin}}^{\\mathcal{V}}(\\mathcal{C},\\mathcal{D}) \\simeq \\mathrm{Fun}^{\\mathcal{V}}(\\mathcal{C},\\mathcal{D}) $$ of $\\infty$-categories weakly right tensored over $\\mathcal{W}$ between two different models of $\\infty$-categories of $\\mathcal{V}$-enriched functors, one introduced by Hinich and o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.08115","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2306.08115/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}