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  "body": "\n## Summary\n\nA frame is a complete lattice in which finite meets distribute over arbitrary joins.\nThe open sets of any topological space form a frame, and frames are the algebraic objects of [[pointless topology|CYEMGH98WN]].\nAs ordered sets, frames are exactly the complete [[Heyting algebras|NG943XNQWH]]; the word \"frame\" signals that the maps considered preserve finite meets and arbitrary joins.\n\n## Explanations\n\n### L1 human\n\nLook at the open sets of a space, ordered by inclusion.\nAny union of open sets is open, and the intersection of two open sets is open.\nMoreover, intersecting with one open set $U$ commutes with taking unions: $U \\cap \\bigcup_i V_i = \\bigcup_i (U \\cap V_i)$.\nA frame is any complete lattice with this one distributive law.\nIt captures what topology needs from open sets, without mentioning points.\n",
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