{"paper":{"title":"An example of a Fra\\\"iss\\'e class without a Kat\\v{e}tov functor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.LO","authors_text":"Jan Greb\\'ik","submitted_at":"2016-04-01T18:53:54Z","abstract_excerpt":"We disprove a conjecture from [W. Kubi\\'s, D. Ma\\v{s}ulovi\\'c, Kat\\v{e}tov functors, preprint, http://arxiv.org/abs/1412.1850] by showing the existence of a Fra\\\"iss\\'e class $\\mathcal{C}$ which does not admit a Kat\\v{e}tov functor. On the other hand, we show that the automorphism group of the Fra\\\"iss\\'e limit of $\\mathcal{C}$ is universal, as it happens in the presence of a Kat\\v{e}tov functor."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00358","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"}