{"id":"W4413239810","doi":"10.1007/s40065-025-00553-9","title":"Retraction Note: An elementary proof of the Brouwer’s fixed point theorem","year":2025,"lang":"en","type":"article","venue":"Arabian Journal of Mathematics","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":0,"is_retracted":true,"has_abstract":false,"ca_institutions":"Brock University","funders":"","keywords":"Elementary proof; Mathematics; Fixed-point theorem; Fixed point; Brouwer fixed-point theorem; Discrete mathematics; Point (geometry); Combinatorics; Calculus (dental); Mathematical analysis; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03339388833453071,"score_gpt":0.3631455213439346,"score_spread":0.3297516330094039,"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."}}