{"paper":{"title":"Bousfield localisations along Quillen bifunctors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Constanze Roitzheim, Javier J. Guti\\'errez","submitted_at":"2014-11-03T14:29:07Z","abstract_excerpt":"Consider a Quillen adjunction of two variables between combinatorial model categories from $\\mathcal{C}\\times\\mathcal{D}$ to $\\mathcal{E}$, and a set $\\mathcal{S}$ of morphisms in $\\mathcal{C}$. We prove that there is a localised model structure $L_{\\mathcal{S}}\\mathcal{E}$ on $\\mathcal{E}$, where the local objects are the $\\mathcal{S}$-local objects in $\\mathcal{E}$ described via the right adjoint. These localised model structures generalise Bousfield localisations of simplicial model categories, Barnes and Roitzheim's familiar model structures, and Barwick's enriched Bousfield localisations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0500","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":""},"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"}