2019/08/01 by Yan Wu, Wu, Yan, Jingming Zhu +1
Mathematics · #54F45 #Advanced Operator Algebra Research #Advanced Topology and Set Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Metric Geometry (math.MG)
paper · pdf · doi:10.48550/arxiv.1908.00434
openalex publication_date 2019/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct a metric space whose transfinite asymptotic dimension and complementary-finite asymptotic dimension are both omega+1, where omega is the smallest infinite ordinal number. Therefore, we prove that the omega conjecture is not true.