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  "body": "\n## Summary\n\nThe loop space $\\Omega X$ of a [[pointed space|T9DG8DDE75]] $(X, x_0)$ is the space of all loops in $X$ that start and end at $x_0$.\nIts path components are the elements of the [[fundamental group|S1XK3HXHFX]] of $X$, and in general $\\pi_n(\\Omega X) \\cong \\pi_{n+1}(X)$.\nConcatenation of loops makes $\\Omega X$ an H-space.\nThe loop space is dual to the [[suspension|Q7RFNJH76Q]] in the sense of [[Eckmann–Hilton duality|1EK3355WMC]].\n\n## Explanations\n\n### L1 human\n\nEvery point of the loop space is a whole loop in $X$ based at $x_0$.\nTwo points of the loop space are close when the two loops stay close at every time.\nMoving continuously in the loop space means deforming a loop.\nFor example, the loop space of the circle falls into pieces, one for each integer winding number.\n",
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