Generalizations
- The notion of a bundle applies to many more categories in mathematics, at the expense of appropriately modifying the local triviality condition.
- In topology, a fibration is a mapping π : E → B which has certain homotopy-theoretic properties in common with fiber bundles. Specifically, under mild technical assumptions a fiber bundle always has the homotopy lifting property or homotopy covering property (see Steenrod 1951, 11.7, for details). This is the defining property of a fibration.
Read more about this topic: Fiber Bundle
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