Constructible sheaves

Constructible sheaves are mathematical tools used in algebraic geometry, a branch of mathematics that studies shapes and solutions to polynomial equations. They combine two ideas: "constructible" refers to sets defined by certain geometric conditions, often related to finite algebraic structures, while "sheaves" represent data that can vary over different parts of a space, like assigning values to points in a geometric shape. Essentially, constructible sheaves help mathematicians understand complex spaces by organizing information in a way that respects their geometric structure, making it easier to study their properties and relationships.