What's the similarity and distinction between covering manifold and fiber bundle?

Question

I'm reading a book and a definition on covering manifold made me thought of fiber bundle.

Wiki's The definition of covering Space and Fiber bundle. It looks to be that they both involved projection, $\pi$, and somewhat decomposition of local space. But somehow I felt they were not quite the same.

Could you explain to me what's the common part and differences between covering manifold and fiber bundle, please?

Answer 1

As Moishe Kohan explained in his comments, covering projections are fiber bundles with discrete fibers, at least if the base space $B$ is connected (If it is not, we can write $B$ as the union of nonempty disjoint open subspaces $U_1, U_2$ and there exist coverings with fibers of different cardinality over $U_1, U_2$. This would no longer be a fiber bundle because there is no common fiber.)

On the other hand, coverings have a number of very special features like unique path lifting which is not true for general fiber bundles.