Espacios métricos

A "espacio métrico" (metric space) is a mathematical framework where distances between points are defined. It consists of a set of elements and a rule (called a metric) that assigns a non-negative number to each pair, indicating how far apart they are. This concept generalizes familiar notions like points on a line or in space, allowing mathematicians to analyze properties like continuity and convergence in more abstract contexts. Essentially, a metric space provides a structured way to discuss the size of differences and the concept of closeness within any set, not just physical space.