Lemma 58.14.1. Let $I$ be a directed set. Let $X_ i$ be an inverse system of quasi-compact and quasi-separated schemes over $I$ with affine transition morphisms. Let $X = \mathop{\mathrm{lim}}\nolimits X_ i$ as in Limits, Section 32.2. Then there is an equivalence of categories

If $X_ i$ is connected for all sufficiently large $i$ and $\overline{x}$ is a geometric point of $X$, then

## Comments (0)