Fiber Bundle - Generalizations

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 : EB 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.

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