2016/08/01 by С. В. Медведев, Medvedev, Sergey
Mathematics · #03E15 #54C10 (Secondary) #54H05 (Primary) #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1608.00639
openalex publication_date 2016/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let f \colon X → Y be a resolvable-measurable mapping of a metrizable space X to a regular space Y. Then f is piecewise continuous. Additionally, for a metrizable completely Baire space X, it is proved that f is resolvable-measurable if and only if it is piecewise continuous.