# Contents

## Definition

$\left(\Pi ⊣\Delta ⊣\Gamma \right):H\to \infty \mathrm{Grpd}$(\Pi \dashv \Delta \dashv \Gamma) : \mathbf{H} \to \infty Grpd

is called strongly connected if $\Pi$ preserves finite (∞,1)-limits.

Similarly for an $n$-connected $\left(n,1\right)$-topos.

For $n=1$ this yields the notion of totally connected topos.

and

Created on January 5, 2011 21:50:40 by Urs Schreiber (89.204.153.69)