{"id":"7ce5fc9a-91c3-4b65-984c-3d3d55ff6ad6","arxiv_id":"1908.00434","paper_version":2,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":7.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"A concrete metric space is constructed whose transfinite and complementary-finite asymptotic dimensions are both omega+1, giving a counterexample to the omega conjecture.","lead":"The paper constructs a metric space called X_{omega+1} and claims its transfinite asymptotic dimension is omega+1, the first known value strictly between the smallest infinite ordinal omega and infinity. If correct, this disproves the 'omega conjecture' in coarse geometry, which said no such dimension values exist.","discovery_kind":"new_application","skeptic_critique":null,"referee_report":null,"author_rebuttal":null,"desk_editor":null,"rs_alignment":null,"lean_confirmation":null,"pith_extraction":null,"created_at":"2026-08-14T15:58:55.968149+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":null,"supporting_citations":[],"review_version":1}