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  "body": "\n## Summary\n\nA manifold with boundary is a space that looks near each point either like $\\R^n$ or like the closed half-space of $\\R^n$.\nThe points of the second kind form the boundary, which is itself a manifold of dimension $n - 1$ without boundary.\nClosed disks, closed intervals and solid balls are the first examples, and cobordism and surgery theory are built on them.\n\n## Explanations\n\n### L1 human\n\nA closed disk is like a flat sheet with an edge.\nAround a point inside, it looks like an open piece of the plane.\nAround a point on the edge circle, it looks like a piece of a half-plane, with the edge as a border line.\nThe edge of the disk is the circle, and the circle has no edge of its own.\nA closed interval $[0, 1]$ is a $1$-dimensional example whose boundary is the two end points.\n",
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