A fiber bundle can be defined as a mathematical construct that describes a space by associating each point in it with a certain set of data. Alternative synonyms for this term include "fibre bundle", "bundle of fibres", or simply "bundle". These concepts are closely related to the ideas of topology and differential geometry. Other related terms include "principal bundle" or "vector bundle", which are specific types of fiber bundles that behave in particular ways. Overall, fiber bundles are a fundamental concept in topology and geometry, and their study has applications in many areas of mathematics and science.