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1. • CommentRowNumber1.
   • CommentAuthorMike Shulman
   • CommentTimeJun 10th 2019
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexHas anyone written down an analogue for $(\infty,1)$-toposes of the [[(hyperconnected, localic) factorization system]] for 1-toposes? In particular, is it known that $n$-localic $(\infty,1)$-toposes form a reflective subcategory of all $(\infty,1)$-toposes? <a href="https://ncatlab.org/nlab/revision/diff/n-localic+%28infinity%2C1%29-topos/19">diff</a>, <a href="https://ncatlab.org/nlab/revision/n-localic+%28infinity%2C1%29-topos/19">v19</a>, <a href="https://ncatlab.org/nlab/show/n-localic+%28infinity%2C1%29-topos">current</a>

   Has anyone written down an analogue for $(\infty,1)$-toposes of the (hyperconnected, localic) factorization system for 1-toposes? In particular, is it known that $n$-localic $(\infty,1)$-toposes form a reflective subcategory of all $(\infty,1)$-toposes?

   diff, v19, current