Espacio métrico

Espacio métrico, or metric space, is a mathematical framework that generalizes the idea of distance. It consists of a set of points and a function called a metric that measures how far apart two points are. This concept allows mathematicians to analyze notions like closeness, convergence, and continuity in a wide variety of contexts, beyond just standard geometric space. The key properties of a metric include non-negativity, identity of indiscernibles, symmetry, and the triangle inequality. Metric spaces provide a foundation for many areas of mathematics, including analysis, topology, and geometric theory.