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  "body": "\n## Summary\n\nAn algebraic space is a generalization of a scheme that is glued from schemes along étale maps instead of open immersions.\nFormally it is a sheaf on the category of schemes that is the quotient of a scheme by an étale equivalence relation.\nAlgebraic spaces were introduced by Michael Artin, and they arise as quotients and moduli spaces that do not exist as schemes.\n\n## Explanations\n\n### L1 human\n\nA scheme is glued from affine pieces along open sets.\nAn algebraic space is glued from schemes along étale maps, which are like local isomorphisms but not open inclusions.\nThis extra freedom lets one form quotients of schemes by free actions of finite groups, and other constructions, that are not schemes.\nEvery scheme is an algebraic space, and locally in the étale sense every algebraic space looks like a scheme.\n",
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