👉 In mathematics, a sheafage (also known as a sheaf in older usage) is a type of mathematical structure that generalizes the idea of a sheaf from algebraic geometry. It is a locally defined and continuous function from a topological space to a ringed space. A sheafage can be visualized as an object with properties that are preserved under certain operations, such as sheafification (unifying all local rings into a single ring). This property allows for the definition