Fiber space

A fiber space is a concept from topology, a branch of mathematics. It describes a structure where each point in a base space (like a shape or surface) is associated with a collection of points, called fibers, typically in another space. Imagine a map where every location (point in the base space) has a set of related locations (the fiber). This setup helps mathematicians study complex shapes and spaces by breaking them down into simpler, manageable parts, facilitating better understanding of their properties and relationships.