A fibration is a mathematical structure that describes a way to organize spaces, often in the context of topology. It consists of a "total space" that is connected to a "base space" through a continuous map, allowing for a systematic way to study how different spaces relate to each other. The fibers, which are the pre-images of points in the base space, can vary in shape and size. Fibrations are important in various areas of mathematics, including algebraic topology and category theory. They help mathematicians understand complex structures by breaking them down into simpler components. This concept is also related to fiber bundles, which are used in physics to describe fields and forces in a unified manner.