11. Mathematically speaking, a fiber bundle description is needed. 12. In differential geometry, a fibered manifold is surjective connection on fiber bundles . 13. Fiber bundles became their own object of study in the period 1935-1940.14. These are indeed standard conditions in fiber bundle theory ( see transition map ). 15. The Hopf fibration is equivalent to the fiber bundle structure of the Dirac monopole. 16. Let be a fiber bundle with abstract fiber and let be a continuous map. 17. He is known as one of the founders of the theory of fiber bundles . 18. Backscattered light is then collimated by the same lens and collected by the fiber bundle . 19. This turns \ mathcal H into a locally trivial fiber bundle over the moduli space. 20. The first volume considers manifolds, fiber bundles , tensor analysis, exercises ) ".