Metric Space

A metric space is a mathematical concept that provides a way to measure distances between points in a set. Imagine having a collection of locations, like cities on a map; the "metric" is a rule that defines how far apart these cities are from one another. For example, in a metric space, each pair of points has a distance that satisfies certain properties: it's always positive, the distance from a point to itself is zero, and distances obey a triangle inequality. This structure helps in understanding concepts such as concepts of convergence, continuity, and boundaries in mathematics.