2018/10/02 by Juan Pablo Quijano, Quijano, Juan Pablo
Mathematics · #06D22 #06F07 #18B99 #18F15 #55R10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.CT #msc:06D22 #msc:06F07 #msc:18B99 #msc:18F15 #msc:55R10
paper · pdf · doi:10.48550/arxiv.1810.01023
34 pages
arxiv created 2018/10/02 · openalex publication_date 2018/10/02 · arxiv updated 2018/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Taking into account the correspondence between open groupoids and their quantales, we establish a bijective correspondence between the principal G-bundles whose left projection is an open surjection and the principal \opens(G)-locales for any open groupoid G and its groupoid quantale \opens(G), the latter requires a generalization of the supported modules for groupoid quantales.