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  "body": "\n## Summary\n\nEckmann–Hilton duality is a correspondence in homotopy theory between pairs of dual notions, obtained by reversing the direction of maps.\nUnder it, the [[suspension|Q7RFNJH76Q]] corresponds to the [[loop space|2JFF5F3EGF]], [[cofibrations|W5WS5EY8ZM]] to fibrations, and the [[wedge sum|5JSWM1HBX2]] to the product.\nIt is a guiding principle, not a theorem: it suggests dual statements and dual proofs, but each dual statement must be checked on its own.\n\n## Explanations\n\n### L1 human\n\nMany constructions in homotopy theory come in pairs that mirror each other.\nOne member of a pair is about maps going out of a space, and the other is about maps coming into a space.\nFor example, a homotopy can be seen as a map out of a cylinder $X \\times [0, 1]$ or as a map into a space of paths.\nEckmann–Hilton duality is the habit of turning each result about one side into a guess about the other side.\n",
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