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  "body": "\n## Summary\n\nA proximity space is a set with a relation that says when two subsets are near each other.\nEvery metric space gives a proximity, in which two sets are near when their distance is $0$.\nA proximity determines a topology, and it lies between a topology and a [[uniform space|A54T86KS63]] in the amount of structure it carries.\n\n## Explanations\n\n### L1 human\n\nA topology tells when a point is near a set: when it lies in the closure of the set.\nA proximity tells when two sets are near each other.\nIn the plane, the open disc of radius $1$ and the point $(1, 0)$ are near, since their distance is $0$, though they do not meet.\nThe open disc and the point $(2, 0)$ are not near.\n",
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