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created connected site and declared it to be a locally connected site with a terminal object.
That’s sufficient for its sheaf topos to be connected, I don’t now if it is necessary: If we find a weaker sufficient condition we should refine the entry.
We could call that a “connected locally connected site.” I don’t know whether there’s a good site condition for connectedness in the absence of local connectedness.
We could call that a “connected locally connected site”
Yesterday at infinity-connected site I started calling it “locally and globally connected site”, but then I forgot to implement something like this here. I have edited connected site now accordingly.
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