Discrete Topology
Discrete topology is a type of topology in which every subset of a given set is considered an open set. This means that for any set X, the collection of all possible subsets of X forms the topology. As a result, every point in X is isolated from others, making it a simple and intuitive structure.
In discrete topology, the concepts of convergence and continuity are straightforward. A sequence converges to a point if eventually all its terms are equal to that point. Similarly, a function is continuous if the preimage of every open set is also open, which is always true in discrete topology.