👉 Linking math, also known as metric geometry, is a branch of mathematics that studies the properties of spaces defined by real-valued functions, particularly focusing on distance and angles. It introduces a metric \(d\) on a set \(X\) to quantify the "distance" between points, satisfying properties like non-negativity, identity of indiscernibles, symmetry, and the triangle inequality. This metric enables the definition of geometric concepts such as open sets, closed sets, continuity, and convergence. By analyzing these properties, linking math provides a framework for understanding the intrinsic structure of spaces, which is fundamental in various fields including analysis, topology, and differential geometry.
