2002/04/25 by N. Brodsky, Brodsky, N., Alex Chigogidze +2
Mathematics · #54C65 #55M10 #Advanced Topics in Algebra #Advanced Topology and Set Theory #Algebraic Topology (math.AT) #FOS: Mathematics #General Topology (math.GN) #Homotopy and Cohomology in Algebraic Topology #math.AT #math.GN #msc:54C65 #msc:55M10
paper · pdf · doi:10.48550/arxiv.math/0204319
arxiv created 2002/04/25 · openalex publication_date 2002/04/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove a new selection theorem for multivalued mappings of C-space. Using this theorem we prove extension dimensional version of Hurewicz theorem for a closed mapping f\colon X→ Y of k-space X onto paracompact C-space Y: if for finite CW-complex M we have \ed Y≤ [M] and for every point y∈ Y and every compactum Z with \ed Z≤ [M] we have \ed(f-1(y)× Z)≤ [L] for some CW-complex L, then \ed X≤ [L].