convergencespace
A convergence space, also known as a *convergence topology* or *convergence structure*, is a mathematical concept used in topology and general topology to generalize the notion of convergence in topological spaces. Unlike traditional topological spaces, which are defined by open sets and neighborhoods, convergence spaces are defined directly in terms of convergent sequences or nets.
In a convergence space, a sequence of points (or more generally, a net) is said to converge
One of the key advantages of convergence spaces is their ability to capture different notions of convergence
The theory of convergence spaces was introduced by the mathematician **Ryszard Engelking** in the 1970s as part
While convergence spaces share some similarities with topological spaces—such as the ability to define continuity in