indiscrete topology
Indiscrete topology is a type of topology on a set where the only open sets are the empty set and the entire set itself. This means that no proper subsets of the set are considered open. It is the coarsest topology possible, making it a simple yet important concept in the study of topology.
In the context of topological spaces, the indiscrete topology can be useful for illustrating basic properties and concepts. For example, it highlights the idea of continuity, as any function from a space with the indiscrete topology to any other topological space is continuous.