A notion of *$\infty$-topos* is a generalization of that of topos to higher category theory.

If by $\infty$-category one means an $(\infty,\infty)$-category, then such a notion is still undefined. However, nowadays many people write “$\infty$-category” to mean what here on the nLab we usually still call an (∞,1)-category, and thus an “$\infty$-topos” means an (∞,1)-topos. See also higher topos theory for more.

Last revised on April 4, 2017 at 08:21:24. See the history of this page for a list of all contributions to it.