Examples
- Every differentiable fiber bundle is a fibered manifold.
- Every differentiable covering space is a fibered manifold with discrete fiber.
- In general, a fibered manifold needs not to be a fiber bundle: different fibers may have different topologies. An example of this phenomenon may be constructed by taking the trivial bundle and deleting two points in to two different fibers over the base manifold .The result is a new fibered manifold where all the fibers except two are connected.
Read more about this topic: Fibered Manifold
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