2015/08/12 by Kyle Austin, Austin, Kyle
Mathematics · #Advanced Topology and Set Theory #Analytic Number Theory Research #FOS: Mathematics #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals #math.GT
paper · pdf · doi:10.48550/arxiv.1508.02996
arxiv created 2015/08/12 · openalex publication_date 2015/08/12 · arxiv updated 2015/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the concept of coarse disjointness and large scale n-to-1 functions. As a byproduct, we obtain an Ostrand-type characterization of asymptotic dimension for coarse structures. It is shown that properties like finite asymptotic dimension, coarse finitism, large scale weak paracompactness, ect. are all invariants of coarsely n-to-1 functions. Metrizability of large scale structures is also investigated.