Connect Object - Connected Scheme
Posted: Wed Feb 01, 2017 10:55 pm
Let $X$ be a scheme and let $ \mathcal{FÉt}_{X} $ be the category of finite étale schemes over $X$. Show that the following are equivalent:
- $Y$ is a connected object in $ \mathcal{FÉt}_{X} $.
- $Y$ is connected as a scheme.