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  "body": "\n## Summary\n\nA space is semilocally simply connected if every point has a neighbourhood whose loops can all be shrunk to a point inside the whole space.\nThe loops need not shrink inside the neighbourhood itself, which is why the condition is only \"semi\" local.\nIt is exactly the condition, together with local path-connectedness, under which a connected space has a [[universal cover|Y1YPE6PM52]].\n\n## Explanations\n\n### L1 human\n\nThe condition forbids arbitrarily small loops that cannot be undone.\nManifolds satisfy it, because every point has a neighbourhood that looks like a ball, and CW complexes satisfy it too.\nThe [[Hawaiian earring|73EBKQPP8Q]], a union of circles of radius $1/n$ that all touch at one point, fails it.\nEvery neighbourhood of the touching point contains a whole small circle, and that circle cannot be shrunk to a point in the earring.\n",
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