 Characterization (mathematics)

In mathematics, "characterization" refers to the process of defining an object or a class of objects by specifying a set of properties or conditions that uniquely identify them. This concept is prevalent in various fields of mathematics, including algebra, topology, analysis, and geometry. Characterization can take several forms, including: 1. **Set of Properties**: An object can be characterized by a list of properties that all instances of that object share.