Fiber Product

A fiber product is a mathematical way to combine two sets or structures, such as groups, spaces, or modules, into a new one that captures the common features related to a shared component. Think of it as a way to "pair up" elements from two different sets or structures so that their relationships are consistent over a common part. For example, if two shapes share a common edge, the fiber product helps create a new shape that reflects their connection along that shared edge, preserving the information from both while aligning them along the common feature.