Suppose is a Topological Space. A subset of is said to be disconnected provided that it can be written as the union of two separated sets. A set that is not disconnected is said to be connected.
Suppose (X,τ) is a Topological Space. A subset E of X is said to be disconnected provided that it can be written as the union of two separated sets. A set that is not disconnected is said to be connected.