2019/07/08 by Marco Vergura, Vergura, Marco
Mathematics · #18E35 #55P60 (Primary) #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #math.AT #math.CT #msc:18E35 #msc:55P60
paper · pdf · doi:10.48550/arxiv.1907.03837
26 pages
arxiv created 2019/07/08 · arxiv updated 2019/07/10
We prove that, given any reflective subfibration L_\bullet on an ∞-topos E, there exists a reflective subfibration L'_\bullet on E whose local maps are the L-separated maps, that is, the maps whose diagonals are L-local. This is the companion paper to "Localization theory in an ∞-topos".