{"id":"W3184999819","doi":"10.1007/978-3-031-57204-3_13","title":"Homeomorphic Model for the Polyhedral Smash Product of Disks and Spheres","year":2024,"lang":"en","type":"book-chapter","venue":"Fields Institute communications","topic":"Advanced Combinatorial Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Regina","funders":"","keywords":"Realization (probability); SPHERES; Product (mathematics); Vertex (graph theory); Suspension (topology); Combinatorics; Mathematics; Polyhedron; Pure mathematics; Physics; Geometry; Graph","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001638694,0.0007600927,0.000709361,0.001027349,0.001457162,0.002560692,0.001144545,0.001060846,0.0148913],"category_scores_gemma":[0.0004832522,0.000374247,0.0004967336,0.0008529307,0.00212838,0.002693941,0.001188936,0.001917112,0.002122508],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001245747,"about_ca_system_score_gemma":0.0004695081,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001502852,"about_ca_topic_score_gemma":0.00132797,"domain_scores_codex":[0.9998227,0.00003402535,0.00000636754,0.00003400116,0.00007530076,0.00002769642],"domain_scores_gemma":[0.9998745,0.00002734291,0.00001858897,0.00002026948,0.00002385456,0.00003552387],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.000004995688,0.00000395447,0.00001366616,0.000009048195,8.356167e-7,0.00002599907,0.00004833287,0.0003280936,0.0001591098,0.9970028,0.001083519,0.001319641],"study_design_scores_gemma":[0.00000976846,0.00001508557,0.00008199508,0.00001000471,0.000002304959,0.0001277411,0.0001306457,0.003454679,0.0001664096,0.9773629,0.01863346,0.000005106403],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1801013,0.002190809,0.1669614,0.002548124,0.001122779,0.0001468026,0.0005980901,0.0003734534,0.6459572],"genre_scores_gemma":[0.7599944,0.001613934,0.02889993,0.0005732726,0.0006895749,0.0001604192,0.0006183045,0.0002760747,0.207174],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0148913,"threshold_uncertainty_score":0.04981637,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2043901172358143,"score_gpt":0.3702321036442865,"score_spread":0.1658419864084722,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}