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  "body": "\n## Summary\n\nAn atlas on a [[topological space|0CQHFPGJ45]] is a family of charts whose domains cover the space.\nA chart is a homeomorphism from an open piece of the space onto an open subset of $\\R^n$.\nThrough an atlas, questions about the space can be turned into questions about open sets of $\\R^n$.\nExtra structures on manifolds, such as smooth or piecewise linear structures, are defined by special atlases.\nIn such an atlas, the changes of chart belong to a chosen class of maps.\n\n## Explanations\n\n### L1 human\n\nThe word comes from a book of maps of the Earth.\nEach page shows one region of the globe on a flat sheet, and the pages overlap at their edges.\nNo single flat page can show the whole sphere without tearing it, but a collection of pages covers everything.\nFor the circle, two charts suffice: one for the circle without its north pole and one for the circle without its south pole.\nWhere two charts overlap, a map called the transition map converts positions on one chart into positions on the other.\n",
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