Fibration

A fibration is a concept from mathematics that describes a structured way of relating two shapes or spaces. Imagine one space (called the "total space") is decomposed into simpler pieces (called "fibers"), which are parameterized continuously over another space (the "base space"). This setup ensures that locally, the total space looks like a product of the base and a fiber, allowing us to study complex shapes by understanding their simpler building blocks. Fibrations are fundamental in fields like topology and geometry, helping mathematicians analyze and classify spaces based on how they are assembled from these fibers.