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  "body": "\n## Summary\n\nA Hurewicz fibration is a continuous map $p \\colon E \\to B$ that has the [[homotopy lifting property|G4QDM01P6J]] with respect to all topological spaces.\nFibrations behave in homotopy theory like fibre bundles.\nThe fibres over points of a path-connected base are homotopy equivalent, and there is a long exact sequence of homotopy groups.\nA [[Serre fibration|PB9JXQ2KC3]] is the weaker notion that asks for the lifting property only for cubes, or equivalently for CW complexes.\n\n## Explanations\n\n### L1 human\n\nThink of $E$ as a space lying over $B$, with a fibre over each point.\nSuppose a family of points moves in $B$ and you know where it starts in $E$.\nThe map is a fibration if you can always lift the whole motion to $E$ continuously.\nProduct projections, covering maps and fibre bundles over nice bases are fibrations.\nThe path space fibration, sending a path in $B$ to its end point, is a central example in homotopy theory.\n",
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