2009/03/27 by Тарас Банах, Banakh, T., Myroslava Vovk +2
Computer Science · Mathematics · #54C30 #54D05 #Computational Geometry and Mesh Generation #FOS: Mathematics #General Topology (math.GN) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Metric Geometry (math.MG)
paper · pdf · doi:10.48550/arxiv.0903.4768
openalex publication_date 2009/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In a separably connected space any two points are contained in a separable connected subset. We show a mechanism that takes a connected bounded metric space and produces a complete connected metric space whose separablewise components form a quotient space isometric to the original space. We repeatedly apply this mechanism to construct, as an inverse limit, a complete connected metric space whose each separable subset is zero-dimensional.