(2,1)-quasitopos?
structures in a cohesive (∞,1)-topos
A totally -connected site is a site satisfying sufficient conditions to make the (∞,1)-sheaf (∞,1)-topos over it a totally ∞-connected (∞,1)-topos.
Let be a locally and globally ∞-connected site; we say it is a strongly -connected site if it is also a cofiltered (∞,1)-category.
If is a totally -connected site, then the (∞,1)-sheaf (∞,1)-topos over it is a totally ∞-connected (∞,1)-topos.
We need to check that the fundamental ∞-groupoid in a locally ∞-connected (∞,1)-topos-functor preserves finite (∞,1)-limits.
By the discussion at ∞-connected site we have that is given by the (∞,1)-colimit (∞,1)-functor . On the opposite and therefore filtered (∞,1)-category these preserve finite (∞,1)-limits.
and
Last revised on January 6, 2011 at 01:02:38. See the history of this page for a list of all contributions to it.