Fiber bundle

In mathematics, and particularly topology, a fiber bundle is a space that is locally a product space, but globally may have a different topological structure. Specifically, the similarity between a space  and a product space  is defined using a continuous surjective map,  that in small regions of  behaves just like a projection from corresponding regions of  to  The map  called the projection or submersion of the bundle, is regarded as part of the structure of the bundle. The space  is known as the total space of the fiber bundle,  as the base space, and  the fiber.


In mathematics, and particularly topology, a fiber bundle is a space that is locally a product space, but globally may have a different topological structure. Specifically, the similarity between a space and a product space is defined using a continuous surjective map, that in small regions of behaves just like a projection from corresponding regions of to The map called the projection or submersion of the bundle, is regarded as part of the structure of the bundle. The space is known as the total space of the fiber bundle, as the base space, and the fiber.
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